四川大学学报（自然科学版）2024，Vol.61Issue(1)：44-50,7.DOI:10.19907/j.0490-6756.2024.011006
一个含对流项的反应扩散捕食模型正解的存在性
Existence of positive solutions of a reaction-diffusion predator model with advection term
摘要
Abstract
In this paper,we focus on the existence of positive solutions of a reaction-diffusion predator model with advection term.This model can be used to describe the relationship between the predator species and the prey species with a tendency that predators choose to hunt away from the high-density area of prey species.Based on a priori estimate for positive solutions,the non-existence of positive solu-tions with respect to the growth rate of both species is established by using the eigenvalue theory and homogenization theory.Then the existence of positive solutions for different parameter conditions is es-tablished by using the bifurcation theory.关键词
反应扩散捕食模型/全局分岔/先验估计Key words
Reaction-diffusion-predator model/Global bifurcation/Priori estimate分类
数理科学引用本文复制引用
高歌,董亚莹..一个含对流项的反应扩散捕食模型正解的存在性[J].四川大学学报（自然科学版）,2024,61(1):44-50,7.基金项目
国家自然科学基金(11801431) （11801431）
陕西省高校科协青年人才托举计划(20190509) （20190509）
陕西省自然科学基金(2023-JC-YB-038) （2023-JC-YB-038）
