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

被引：6
|
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.
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页数：26
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