Article ID Journal Published Year Pages File Type
4630784 Applied Mathematics and Computation 2011 10 Pages PDF
Abstract

By using the generalized continuation theorem, the existence of at least two positive periodic solutions for a non-autonomous delayed periodic predator–prey model with harvestingx′(t)=x(t)[r(t)-a(t)x(t)]-b(t)x(t)m+x(t)y(t)-h1(t),y′(t)=y(t)c(t)x(t-τ(t))m+x(t-τ(t))-d(t)-h2(t)is established. The method used here is more convenient than Mawhin’s continuation theorem. And the main results show that the harvesting terms consult in the additional periodic solution.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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