一类具扩散的Ivlev型捕食模型  

The Predator-Prey Model with Functional Responses of Ivlev-Type

作　　者：袁樱[1] 甘文珍[1] 

机构地区：[1]江苏理工学院数理学院,江苏常州213001

出　　处：《数学的实践与认识》2014年第4期291-296,共6页Mathematics in Practice and Theory

基　　金：江苏省高校自然科学基础研究项目(12KJD110002)

摘　　要：研究一类具有扩散的Ivlev型捕食模型.首先利用线性化和特征值法给出正平衡解在常微分系统和加入自扩散的弱耦合偏微分系统下的局部渐近稳定性,其次,讨论在加入交错扩散的强耦合系统下会引起平衡解的Turing不稳定,最后给出数值模拟验证理论结果.In this paper the predator-prey model with functional responses of Ivlev-type is considered.The stability of the constant equilibrium solution to the ODE system and the weakly coupled reaction-diffusion with the self-diffusion is investigated by linearization and eigenvalue.The Turing instability of the uniform equilibrium is discussed while the cross-diffusion is considered.Finally,the numerical simulations are presented.

关 键 词：捕食-被捕食 Ivlev型 自扩散 交错扩散 Turing不稳定 

分 类 号：O175[理学—数学]