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Positive periodic solution for a nonautonomous periodic model of population with time delays and impulses. (English) Zbl 1224.34276

Summary: A nonautonomous periodic differential equation with time delays and impulses, which is used in order to describe the control of a single population of cells, is studied. By coincidence degree theory, we obtain conditions for the existence of a periodic solution.

MSC:

34K60 Qualitative investigation and simulation of models involving functional-differential equations
34K13 Periodic solutions to functional-differential equations
47N20 Applications of operator theory to differential and integral equations
92D25 Population dynamics (general)
34K45 Functional-differential equations with impulses
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References:

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