Analysis of a predator-prey model with impulsive diffusion and releasing on predator population
| Autor: | Jianjun Jiao, Airen Zhou, Pairote Sattayatham |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
0301 basic medicine
education.field_of_study Algebra and Number Theory Applied Mathematics Population Boundary (topology) 010103 numerical & computational mathematics 01 natural sciences Predation 03 medical and health sciences 030104 developmental biology Control theory Stability theory Ordinary differential equation Bounded function 0101 mathematics Diffusion (business) education Predator Analysis Mathematics |
| Zdroj: | Advances in Difference Equations. 2016(1) |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/s13662-016-0834-2 |
| Popis: | In this paper, we establish a predator-prey model with impulsive diffusion and releasing on predator population. This predator-prey model for two regions, which are connected by diffusion of predator population, portrays the evolvement of population. We prove that all solutions of the investigated system are uniformly ultimately bounded. We also prove that there exists globally asymptotically stable prey-extinction boundary periodic solution. The condition for permanence is obtained. Simulations are also employed to verify our results. It is discovered that the increasing diffusive rate of predator population will count against the pest management. We conclude that the impulsive diffusion and releasing predator provide reliable tactic basis for pest management. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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