Global Solutions for a General Predator-Prey Model with Prey-Stage Structure and Cross-Diffusion

被引：0

作者：

Li, Xiaojuan ^{[1
,2
]}

Xu, Shenghu ^{[1
,3
]}

机构：

[1] North Minzu Univ, Sch Econ, Yinchuan 750021, Ningxia, Peoples R China

[2] Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang 641112, Sichuan, Peoples R China

[3] Longdong Univ, Sch Math & Stat, Qingyang 745000, Gansu, Peoples R China

来源：

FILOMAT | 2022年 / 36卷 / 07期

基金：

中国国家自然科学基金;

关键词：

predator-prey model; stage structure; cross-diffusion; Global solution; KAWASAKI-TERAMOTO MODEL; QUALITATIVE-ANALYSIS; PERIODIC-SOLUTION; EXISTENCE; SYSTEM; PERMANENCE; STABILITY; DYNAMICS; INTERFERENCE; PARASITES;

D O I：

10.2298/FIL2207153L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a cross-diffusion predator-prey model with general functional response and stagestructure for the prey is analyzed. The global existence of classical solutions to the system of strong coupled reaction-diffusion type is proved when the space dimension less than ten by the energy estimates and the bootstrap arguments. The crucial point of the proof is to deal with the cross-diffusion term and the nonlinear predation term

引用

页码：2153 / 2170

页数：18

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