articles
32
https://scigraph.springernature.com/explorer/license/
Dynamic analysis of unilateral diffusion Gompertz model with impulsive control strategy
true
In this paper, we establish a unilateral diffusion Gompertz model of a single population in two patches in a theoretical way. Firstly, we prove the existence and uniqueness of an order-one periodic solution by the geometry theory of differential equations and the method of successor function. Secondly, we prove the stability of the order-one periodic solution by imitating the theory of the limit cycle of an ordinary differential equation. Finally, we verify the theoretical results by numerical simulations.
2018-12-01
2018-12
en
research_article
http://link.springer.com/10.1186/s13662-018-1484-3
2019-04-10T14:23
Wang
Jianmei
Pure Mathematics
Yanhui
Wang
10.1186/s13662-018-1484-3
doi
Shandong University of Science and Technology
State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao, China
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China
2018
1687-1839
1687-1847
Advances in Difference Equations
1
Mathematical Sciences
dimensions_id
pub.1100557582
Li
Yaning
Cheng
Huidong
4adcf7ea46760a4ca375973655e0f34682c03099e19ff9a0f52bbaf9b5164756
readcube_id
Springer Nature - SN SciGraph project