具有毒物影响的捕食者-食饵模型解的大时间行为研究  

A Research of the Large-Time Behavior of Solutions to the Predator-Prey Model with Toxicant Effects

作　　者：郭欣月 王辉 GUO Xinyue;WANG Hui(School of Mathematics and Statistics,Yili Normal University,Yining,Xinjiang 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining,Xinjiang 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《保定学院学报》2025年第2期116-121,共6页Journal of Baoding University

基　　金：新疆维吾尔自治区自然科学基金(青年基金)项目“一类具有奇异敏感函数的趋化-流体模型解的适应性及其数值仿真”(2023D01C218);伊犁师范大学科研项目“退化发展型方程整体解的研究”(2021SYSB077)。

摘　　要：研究了在齐次Neumann边界条件下的光滑二维有界区域上具有毒物影响的捕食者-食饵模型.通过构造Lyapunov泛函的方法得到了在一定参数条件下,纯毒物单共存、食饵-毒物半共存和食饵-捕食者-毒物全共存稳态的大时间行为.This paper investigates the predator-prey model incorporating toxicant in a smooth two-dimensional bounded domain with homogeneous Neumann boundary conditions.The large-time behavior of the toxicant-only,prey-toxicant semi-coexistence and prey-predator-toxicant coexistence steady states under certain parameter conditions are carried out rigorously by constructing precise Lyapunov functionals.

关 键 词：捕食者-食饵模型 毒物 大时间行为 

分 类 号：O175.26[理学—数学]