Finite-time stability and optimal impulsive control for age-structured HIV model with time-varying delay and Lévy noise View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2021-10-23

AUTHORS

Wenjuan Guo, Qimin Zhang, Xining Li, Ming Ye

ABSTRACT

This paper investigates the finite-time stability and optimal impulsive control for stochastic age-structured HIV model with time-varying delay. A stochastic noise is introduced by using the Lévy process to characterize the phenomenon of discontinuous jumps in virus transmission, which cannot be described by a continuous stochastic process (e.g., Brownian motion). By employing the comparison theorem and the bounded impulsive interval method, we obtain the sufficient conditions of finite-time stability for a stochastic HIV system. The effects of impulse, delay and Lévy noise on the finite-time stability are considered in our sufficient conditions. Furthermore, optimal impulsive control is studied to seek the optimal and cost-effective strategy for HIV treatments, which shows that control strategies play an important role in HIV virus transmissions. Numerical simulations are performed to illustrate the validity of our results. More... »

PAGES

3669-3696

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11071-021-06974-3

DOI

http://dx.doi.org/10.1007/s11071-021-06974-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1142124484


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0102", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Applied Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0104", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Statistics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "School of Mathematics and Statistics, Ningxia University, 750021, Yinchuan, People\u2019s Republic of China", 
          "id": "http://www.grid.ac/institutes/grid.260987.2", 
          "name": [
            "School of Mathematics and Statistics, Ningxia University, 750021, Yinchuan, People\u2019s Republic of China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Guo", 
        "givenName": "Wenjuan", 
        "id": "sg:person.014711007054.01", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014711007054.01"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "School of Mathematics and Statistics, Ningxia University, 750021, Yinchuan, People\u2019s Republic of China", 
          "id": "http://www.grid.ac/institutes/grid.260987.2", 
          "name": [
            "School of Mathematics and Statistics, Ningxia University, 750021, Yinchuan, People\u2019s Republic of China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Zhang", 
        "givenName": "Qimin", 
        "id": "sg:person.07662762662.97", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07662762662.97"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "School of Mathematics and Statistics, Ningxia University, 750021, Yinchuan, People\u2019s Republic of China", 
          "id": "http://www.grid.ac/institutes/grid.260987.2", 
          "name": [
            "School of Mathematics and Statistics, Ningxia University, 750021, Yinchuan, People\u2019s Republic of China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Li", 
        "givenName": "Xining", 
        "id": "sg:person.013167121175.92", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013167121175.92"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Earth, Ocean, and Atmospheric Science and Department of Scientific Computing, Florida State University, 32306, Tallahassee, FL, USA", 
          "id": "http://www.grid.ac/institutes/grid.255986.5", 
          "name": [
            "Department of Earth, Ocean, and Atmospheric Science and Department of Scientific Computing, Florida State University, 32306, Tallahassee, FL, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Ye", 
        "givenName": "Ming", 
        "id": "sg:person.016425122141.09", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016425122141.09"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/978-1-4612-6380-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024024845", 
          "https://doi.org/10.1007/978-1-4612-6380-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00939148", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050759410", 
          "https://doi.org/10.1007/bf00939148"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-1466-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013764448", 
          "https://doi.org/10.1007/978-1-4612-1466-3"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2021-10-23", 
    "datePublishedReg": "2021-10-23", 
    "description": "This paper investigates the finite-time stability and optimal impulsive control for stochastic age-structured HIV model with time-varying delay. A stochastic noise is introduced by using the L\u00e9vy process to characterize the phenomenon of discontinuous jumps in virus transmission, which cannot be described by a continuous stochastic process (e.g., Brownian motion). By employing the comparison theorem and the bounded impulsive interval method, we obtain the sufficient conditions of finite-time stability for a stochastic HIV system. The effects of impulse, delay and L\u00e9vy noise on the finite-time stability are considered in our sufficient conditions. Furthermore, optimal impulsive control is studied to seek the optimal and cost-effective strategy for HIV treatments, which shows that control strategies play an important role in HIV virus transmissions. Numerical simulations are performed to illustrate the validity of our results.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/s11071-021-06974-3", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1040905", 
        "issn": [
          "0924-090X", 
          "1573-269X"
        ], 
        "name": "Nonlinear Dynamics", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "4", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "106"
      }
    ], 
    "keywords": [
      "finite-time stability", 
      "optimal impulsive control", 
      "time-varying delays", 
      "impulsive control", 
      "L\u00e9vy noise", 
      "sufficient conditions", 
      "HIV model", 
      "continuous stochastic process", 
      "effect of impulses", 
      "comparison theorem", 
      "stochastic process", 
      "stochastic noise", 
      "L\u00e9vy processes", 
      "interval method", 
      "discontinuous jump", 
      "HIV virus transmission", 
      "numerical simulations", 
      "HIV system", 
      "control strategy", 
      "noise", 
      "theorem", 
      "delay", 
      "virus transmission", 
      "model", 
      "jump", 
      "stability", 
      "HIV treatment", 
      "simulations", 
      "cost-effective strategy", 
      "control", 
      "validity", 
      "phenomenon", 
      "conditions", 
      "system", 
      "impulses", 
      "process", 
      "important role", 
      "transmission", 
      "treatment", 
      "results", 
      "strategies", 
      "role", 
      "effect", 
      "method", 
      "paper"
    ], 
    "name": "Finite-time stability and optimal impulsive control for age-structured HIV model with time-varying delay and L\u00e9vy noise", 
    "pagination": "3669-3696", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1142124484"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s11071-021-06974-3"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s11071-021-06974-3", 
      "https://app.dimensions.ai/details/publication/pub.1142124484"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-05-10T10:32", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220509/entities/gbq_results/article/article_905.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/s11071-021-06974-3"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s11071-021-06974-3'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s11071-021-06974-3'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11071-021-06974-3'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11071-021-06974-3'


 

This table displays all metadata directly associated to this object as RDF triples.

143 TRIPLES      22 PREDICATES      74 URIs      62 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s11071-021-06974-3 schema:about anzsrc-for:01
2 anzsrc-for:0102
3 anzsrc-for:0104
4 schema:author Nc2c86142b6784401b225fe5304079d46
5 schema:citation sg:pub.10.1007/978-1-4612-1466-3
6 sg:pub.10.1007/978-1-4612-6380-7
7 sg:pub.10.1007/bf00939148
8 schema:datePublished 2021-10-23
9 schema:datePublishedReg 2021-10-23
10 schema:description This paper investigates the finite-time stability and optimal impulsive control for stochastic age-structured HIV model with time-varying delay. A stochastic noise is introduced by using the Lévy process to characterize the phenomenon of discontinuous jumps in virus transmission, which cannot be described by a continuous stochastic process (e.g., Brownian motion). By employing the comparison theorem and the bounded impulsive interval method, we obtain the sufficient conditions of finite-time stability for a stochastic HIV system. The effects of impulse, delay and Lévy noise on the finite-time stability are considered in our sufficient conditions. Furthermore, optimal impulsive control is studied to seek the optimal and cost-effective strategy for HIV treatments, which shows that control strategies play an important role in HIV virus transmissions. Numerical simulations are performed to illustrate the validity of our results.
11 schema:genre article
12 schema:inLanguage en
13 schema:isAccessibleForFree false
14 schema:isPartOf N218208d6396d465eb1e3450b9282cb9c
15 Nd081a403da6542fd9ba9e8c6cd7cec4d
16 sg:journal.1040905
17 schema:keywords HIV model
18 HIV system
19 HIV treatment
20 HIV virus transmission
21 Lévy noise
22 Lévy processes
23 comparison theorem
24 conditions
25 continuous stochastic process
26 control
27 control strategy
28 cost-effective strategy
29 delay
30 discontinuous jump
31 effect
32 effect of impulses
33 finite-time stability
34 important role
35 impulses
36 impulsive control
37 interval method
38 jump
39 method
40 model
41 noise
42 numerical simulations
43 optimal impulsive control
44 paper
45 phenomenon
46 process
47 results
48 role
49 simulations
50 stability
51 stochastic noise
52 stochastic process
53 strategies
54 sufficient conditions
55 system
56 theorem
57 time-varying delays
58 transmission
59 treatment
60 validity
61 virus transmission
62 schema:name Finite-time stability and optimal impulsive control for age-structured HIV model with time-varying delay and Lévy noise
63 schema:pagination 3669-3696
64 schema:productId N2149b4a803b949e3801c35bd3a9d3e36
65 N7e0d0690fd1543f38e42edeb312244c4
66 schema:sameAs https://app.dimensions.ai/details/publication/pub.1142124484
67 https://doi.org/10.1007/s11071-021-06974-3
68 schema:sdDatePublished 2022-05-10T10:32
69 schema:sdLicense https://scigraph.springernature.com/explorer/license/
70 schema:sdPublisher N9a053ab56816447f909aad483acaad53
71 schema:url https://doi.org/10.1007/s11071-021-06974-3
72 sgo:license sg:explorer/license/
73 sgo:sdDataset articles
74 rdf:type schema:ScholarlyArticle
75 N2149b4a803b949e3801c35bd3a9d3e36 schema:name dimensions_id
76 schema:value pub.1142124484
77 rdf:type schema:PropertyValue
78 N218208d6396d465eb1e3450b9282cb9c schema:issueNumber 4
79 rdf:type schema:PublicationIssue
80 N4d8d8540d47f43da97a0d11c79484cbb rdf:first sg:person.016425122141.09
81 rdf:rest rdf:nil
82 N7d7f97a879e74022811e76e13e380119 rdf:first sg:person.07662762662.97
83 rdf:rest Nb7363e9da0e448f5b4a687279f2f077e
84 N7e0d0690fd1543f38e42edeb312244c4 schema:name doi
85 schema:value 10.1007/s11071-021-06974-3
86 rdf:type schema:PropertyValue
87 N9a053ab56816447f909aad483acaad53 schema:name Springer Nature - SN SciGraph project
88 rdf:type schema:Organization
89 Nb7363e9da0e448f5b4a687279f2f077e rdf:first sg:person.013167121175.92
90 rdf:rest N4d8d8540d47f43da97a0d11c79484cbb
91 Nc2c86142b6784401b225fe5304079d46 rdf:first sg:person.014711007054.01
92 rdf:rest N7d7f97a879e74022811e76e13e380119
93 Nd081a403da6542fd9ba9e8c6cd7cec4d schema:volumeNumber 106
94 rdf:type schema:PublicationVolume
95 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
96 schema:name Mathematical Sciences
97 rdf:type schema:DefinedTerm
98 anzsrc-for:0102 schema:inDefinedTermSet anzsrc-for:
99 schema:name Applied Mathematics
100 rdf:type schema:DefinedTerm
101 anzsrc-for:0104 schema:inDefinedTermSet anzsrc-for:
102 schema:name Statistics
103 rdf:type schema:DefinedTerm
104 sg:journal.1040905 schema:issn 0924-090X
105 1573-269X
106 schema:name Nonlinear Dynamics
107 schema:publisher Springer Nature
108 rdf:type schema:Periodical
109 sg:person.013167121175.92 schema:affiliation grid-institutes:grid.260987.2
110 schema:familyName Li
111 schema:givenName Xining
112 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013167121175.92
113 rdf:type schema:Person
114 sg:person.014711007054.01 schema:affiliation grid-institutes:grid.260987.2
115 schema:familyName Guo
116 schema:givenName Wenjuan
117 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014711007054.01
118 rdf:type schema:Person
119 sg:person.016425122141.09 schema:affiliation grid-institutes:grid.255986.5
120 schema:familyName Ye
121 schema:givenName Ming
122 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016425122141.09
123 rdf:type schema:Person
124 sg:person.07662762662.97 schema:affiliation grid-institutes:grid.260987.2
125 schema:familyName Zhang
126 schema:givenName Qimin
127 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07662762662.97
128 rdf:type schema:Person
129 sg:pub.10.1007/978-1-4612-1466-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013764448
130 https://doi.org/10.1007/978-1-4612-1466-3
131 rdf:type schema:CreativeWork
132 sg:pub.10.1007/978-1-4612-6380-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024024845
133 https://doi.org/10.1007/978-1-4612-6380-7
134 rdf:type schema:CreativeWork
135 sg:pub.10.1007/bf00939148 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050759410
136 https://doi.org/10.1007/bf00939148
137 rdf:type schema:CreativeWork
138 grid-institutes:grid.255986.5 schema:alternateName Department of Earth, Ocean, and Atmospheric Science and Department of Scientific Computing, Florida State University, 32306, Tallahassee, FL, USA
139 schema:name Department of Earth, Ocean, and Atmospheric Science and Department of Scientific Computing, Florida State University, 32306, Tallahassee, FL, USA
140 rdf:type schema:Organization
141 grid-institutes:grid.260987.2 schema:alternateName School of Mathematics and Statistics, Ningxia University, 750021, Yinchuan, People’s Republic of China
142 schema:name School of Mathematics and Statistics, Ningxia University, 750021, Yinchuan, People’s Republic of China
143 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...