带收获率的Lotka-Volterra捕食者-食饵趋化扩散模型的Turing不稳定性  

Turing instability of a Lotka-Volterra predator-prey chemotaxis-diffusion model with harvesting rate

作　　者：张丽丽[1] 麻作军[1] 齐渊[1] ZHANG Lili;MA Zuojun;QI Yuan(School of Mathematics and Information Engineering,Longdong University,Qingyang 745000,China)

机构地区：[1]陇东学院数学与信息工程学院,甘肃庆阳745000

出　　处：《扬州大学学报（自然科学版）》2023年第5期6-8,34,共4页Journal of Yangzhou University：Natural Science Edition

基　　金：甘肃省科技计划基金资助项目(20JR5RA489);庆阳市科技计划基金资助项目(QY-STK-2022A-016,QY-STK-2022A-078)。

摘　　要：为了解一类带收获率的Lotka-Volterra捕食者-食饵趋化扩散模型的Turing不稳定性,应用线性化方法证明了趋化扩散具有不稳定性作用,能产生Turing斑图,并运用数值解验证了所得结论.In this paper,the Turing instability of a class of Lotka-Volterra predator-prey chemotaxis-diffusion model with harvesting rate is discussed.The linearization methods are applied to prove that chemotaxis-diffusion can drive the Turing instability,and to produce the Turing pattern.Finally,these analysis results are verified by numerical solutions.

关 键 词：Lotka-Volterra捕食者-食饵模型 收获率 趋化扩散 Turing不稳定性 

分 类 号：O175.26[理学—数学] Q332[理学—基础数学]