Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759604 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 7 Pages |
Abstract
With the help of a continuation theorem based on Gaines and Mawhin’s coincidence degree theory, easily verifiable criteria are established for the global existence of positive periodic solutions of the predator–prey system with time delays on time scalesx1Δ(t)=a1(t)-b1(t)exp{x1(t-τ1(t))}-c(t)exp{x2(t-τ2(t))}1+mexp{x1(t)},x2Δ(t)=-a2(t)+b2(t)exp{x1(t-τ2(t))}1+mexp{x1(t-τ2(t))},where ai,bi,c,τi∈C(T,R+),i=1,2 are T-periodic functions.
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Authors
Jie Liu, Yongkun Li, Lili Zhao,