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Periodic solution to a delayed predator-prey system with stage structure and dispersion. (English) Zbl 1249.34241
Summary: A delayed two-species predator-prey system with stage structure and diffusion is investigated. Based on the continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive $$\omega$$-periodic solution to the system are derived. A numerical simulation of an example illustrates our main result.
##### MSC:
 34K60 Qualitative investigation and simulation of models involving functional-differential equations 47N20 Applications of operator theory to differential and integral equations 92D25 Population dynamics (general) 34K13 Periodic solutions to functional-differential equations
##### Keywords:
time delay; periodic solution; stage structure