Graph-theoretic method on the periodicity of coupled predator–prey systems with infinite delays on a dispersal network

Chunmei Zhang and Lin Shi

Physica A: Statistical Mechanics and its Applications, 2021, vol. 561, issue C

Abstract: In this paper, infinite delays and prey dispersal on a network are considered in multi-patch periodic predator–prey systems. Novel graph-theoretic method is adopted to estimate the uniform upper bounds of unknown solutions to operator equation Lu=λNu. The existence criterion of positive periodic solutions to coupled predator–prey systems is obtained by using classic coincidence degree theory, which is closely related to prey dispersal network in a patch environment. Finally, two numerical examples are also shown to illustrate the effectiveness of theoretical results.

Keywords: Positive periodic solution; Coupled predator–prey systems; Infinite delay; Graph-theoretic method; Coincidence degree theory (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:561:y:2021:i:c:s0378437120306634

DOI: 10.1016/j.physa.2020.125255

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