Boundedness and stabilization in a predator-prey model with prey-taxis and disease in predator species

被引：5

作者：

Xiang, Ailing ^{[1
]}

Wang, Liangchen ^{[1
]}

机构：

[1] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 522卷 / 01期

关键词：

Predator-prey model; Boundedness; Large time behavior; REACTION-DIFFUSION SYSTEM; CHEMOTAXIS SYSTEM; GLOBAL EXISTENCE; MATHEMATICAL-THEORY; BIOLOGICAL-CONTROL; PERSISTENCE; STABILITY;

D O I：

10.1016/j.jmaa.2022.126953

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the prey-taxis model with disease in predator. In twodimensional case, it is shown that for all suitably regular initial data this model admits globally-defined bounded classical solutions, while in three-dimensional setting, global bounded classical solutions have been investigated provided that some technical conditions are fulfilled. Moreover, by constructing a suitable Lyapunov functional, we obtain asymptotic stability if the predator is weak.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：26

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