Stability in terms of two measures for population growth models with impulsive perturbations-Reference-Cited by-同舟云学术

Stability in terms of two measures for population growth models with impulsive perturbations

Published:2020-07-11 Issue:06 Volume:13 Page:2050051
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Xia Zhinan¹^ORCID,Wu Qianlian¹,Wang Dingjiang¹

Affiliation:

1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang 310023, P. R. China

Abstract

In this paper, we establish some criteria for the stability of trivial solution of population growth models with impulsive perturbations. The working tools are based on the theory of generalized ordinary differential equations. Here, the conditions concerning the functions are more general than the classical ones.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Zhejiang Province

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524520500515

Reference24 articles.

1. Boundedness of solutions of retarded functional differential equations with variable impulses via generalized ordinary differential equations

2. Discontinuous local semiflows for Kurzweil equations leading to LaSalle's invariance principle for differential systems with impulses at variable times

3. Lipschitz stability for generalized ordinary differential equations and impulsive retarded differential equations

4. Permanence of population growth models with impulsive effects

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Periodic dynamics of predator-prey system with Beddington–DeAngelis functional response and discontinuous harvesting;Boundary Value Problems;2023-12-15

2. Lipschitz Stability in Terms of Two Measures for Kurzweil Equations and Applications;Mathematics;2023-04-23