具有Holling Ⅲ功能性反应的随机捕食食饵模型的平稳分布和周期解

蓝桂杰,付盈洁,魏春金,张树文

Stationary Distribution and Periodic Solution for Stochastic Predator-Prey Systems with Holling-Type Ⅲ Functional Response

Guijie Lan,Yingjie Fu,Chunjin Wei,Shuwen Zhang

图 7 左侧为系统(1.2)的相轨线,右侧为相应的确定系统的相轨线.这里$r_1=1+0.5\sin t$; $r_2=0.3+0.05\sin t$; $a_1=0.05+0.002\sin t$; $b_1=1+0.5\sin t$; $b_2=1+0.5\sin t$; $k_2=5+0.5\sin t$; $x(0)=10$; $y(0)=5$; $\sigma_1=0.01+0.002\sin t$; $\sigma_2=0.01+0.0006\sin t$.