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An impulsive ratio-dependent predator–prey system with diffusion |
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| Authors: | M.U. Akhmet M. Beklioglu T. Ergenc V.I. Tkachenko |
| Affiliation: | aDepartment of Mathematics and Institute of Applied Mathematics, Middle East Technical University, 06531 Ankara, Turkey;bDepartment of Biology and Institute of Applied Mathematics, Middle East Technical University, 06531 Ankara, Turkey;cInstitute of Mathematics, National Academy of Sciences, 01601 Kiev, Ukraine |
| Abstract: | We investigate the predator–prey system with diffusion, when biological and environmental parameters are assumed to change in periodical manner over time. The system is affected by impulses which can be considered as a control. Conditions for the permanence of the predator–prey system and for the existence of a unique globally stable periodic solutions are obtained. |
| Keywords: | Predator-prey system with diffusion Functional response Permanence Periodic solutions Stability |
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