A nonlocal and time-delayed reaction-diffusion eco-epidemiological predator-prey model

被引：6

作者：

Zhang, Liang ^{[1
]}

Shi, Wan-Xia ^{[2
]}

Wang, Shuang-Ming ^{[1
,3
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China

[3] Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730020, Gansu, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 77卷 / 09期

关键词：

Nonlocal predator-prey model; Infected prey; Spatial diffusion; Time delay; Persistence and extinction; GLOBAL ATTRACTORS; DISEASE; REPRODUCTION; STABILITY; SYSTEM; INFECTION;

D O I：

10.1016/j.camwa.2018.12.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose and investigate a nonlocal and time-delayed reaction-diffusion predator-prey model with disease spread in the prey which incorporates spatial heterogeneity and assimilation lag of consumed prey biomass into predator biomass. The SI-type subsystem of prey without predator is first studied, and we establish the threshold dynamics in terms of the basic reproduction number based on epidemiology. Then we show a series of sufficient conditions for the co-existence of prey and predator species, the global extinction of predator species and the global extinction of both the prey and predator species. Finally, a special example is explored via numerical simulations, where the influences of nonlocal effect, spatial heterogeneity and time delay on the invasion of the predator species are probed. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：2534 / 2552

页数：19

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