Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate
AUTOR(ES)
Wang, Xia, Guo, Zhen, Song, Xinyu
FONTE
Computational & Applied Mathematics
DATA DE PUBLICAÇÃO
2011
RESUMO
In this paper, we consider the pest management model with spraying microbial pesticide and releasing the infected pests, and the infected pests have the function similar to the microbial pesticide and can infect the healthy pests, further weaken or disable their prey function till death. By using the Floquet theory for impulsive differential equations, we show that there exists a globally asymptotically stable pest eradication periodic solution when the impulsive period τ < τmax, we further prove that the system is uniformly permanent if the impulsive period τ > τmax. Finally, by means of numerical simulation, we showthatwith the increaseof impulsive period, the system displays complicated behaviors.
Documentos Relacionados
- Analysis of an impulsive pest management SEI model with nonlinear incidence rate
- Dynamical behavior of the four-body transverse Ising model with random bonds and fields
- A brief comment on the dynamical behavior of a forced nonlinear slewing beam: 1. Superharmonic resonance
- Nonlinear mechanisms of the exchange rate pass-through: a Phillips curve model with threshold for Brazil
- Catalysis with competitive reactions: static and dynamical critical behavior