Existence and stability of periodic solution of a Lotka–Volterra predator–prey model with state dependent impulsive effects
| Autor: | Linfei Nie, Lin Hu, Jigen Peng, Zhidong Teng |
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| Rok vydání: | 2009 |
| Předmět: |
Computer simulation
Differential equation Impulsive differential equations Numerical analysis Applied Mathematics State-dependent Stability (probability) Lambert W function symbols.namesake Computational Mathematics State dependent Control theory Periodic solution symbols Lotka–Volterra predator–prey system Quantitative Biology::Populations and Evolution Applied mathematics Numerical stability Poincaré map Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 224(2):544-555 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2008.05.041 |
| Popis: | According to biological and chemical control strategy for pest, we investigate the dynamic behavior of a Lotka–Volterra predator–prey state-dependent impulsive system by releasing natural enemies and spraying pesticide at different thresholds. By using Poincaré map and the properties of the Lambert W function, we prove that the sufficient conditions for the existence and stability of semi-trivial solution and positive periodic solution. Numerical simulations are carried out to illustrate the feasibility of our main results. |
| Databáze: | OpenAIRE |
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