Permanence of periodic Holling type predator–prey system with stage structure for prey

摘要

In this paper, we study the permanence of the following periodic Holling type predator–prey system with stage structure for preyx˙1(t)=a(t)x2(t)-b(t)x1(t)-d(t)x12(t)-e(t)x1γ(t)p(t)+x1γ(t)y(t),x˙2(t)=c(t)x1(t)-f(t)x22(t),y˙(t)=y(t)-g(t)+h(t)x1γ(t)p(t)+x1γ(t)-q(t)y(t).Sufficient and necessary condition which guarantee the predator and the prey species to be permanent is obtained. Some new results are obtained.