Study of a Multi-delayed SEIR Epidemic Model with Immunity Period and Treatment Function in Deterministic and Stochastic Environment View Full Text


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Article Info

DATE

2021-05-30

AUTHORS

Soumen Kundu, Debaldev Jana, Sarit Maitra

ABSTRACT

In this paper a multi-delayed epidemic SEIR model with immunity period and treatment function has been considered in deterministic and stochastic environment. The delays are taken as immunity delay and treatment delay. Firstly, in deterministic situation, a feasible region has been obtained in parametric space, where the solutions of the system are bounded and positive. The conditions for stability of both endemic and epidemic equilibrium have been derived. Later, in presence of stochasticity the dynamics for the SEIR model has been discussed in both presence and absence of delays. Latin Hypercube Sampling/Partial Rank Correlation Coefficient (LHS/PRCC) sensitivity analysis, which is an efficient tool often employed in uncertainty analysis is used to explore the entire parameter space of a model. To study the LHS/PRCC sensitivity analysis for our model, we have chosen a suitable set of parameter values. More... »

PAGES

1-31

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s12591-021-00568-6

DOI

http://dx.doi.org/10.1007/s12591-021-00568-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1138477580


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