摘要
在时间测度上研究了一类具有Holling-N类功能反应和扩散的捕食系统,利用Mawhin重合度理论建立了这类系统周期解存在的一些新的充分性判据,从而使这一类系统的连续与离散情形,即相应的微分方程和差分方程的周期解存在性问题得到了统一.
This paper investigates the existence of periodic solutions for a class of predator- prey system on time scales with Holling-N functional response and diffusion, By using a continuation theorem based on coincidence degree theory, we obtain sufficient criteria for the existence of periodic solutions for the system. Therefore, the methods are unified to provide the existence of the desired solutions for the continuous differential equations and discrete difference equations.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第2期126-134,共9页
Mathematics in Practice and Theory
关键词
时间测度
Holling—N类功能反应
扩散
捕食系统
周期解
重合度
time scale
Holling-N functional response
diffusion
predator- prey system
periodic solutions
coincidence degree
