Dynamics on a pest management SI model with control strategies of different frequencies |
| |
| Affiliation: | 1. College of Mathematics and Information Science, Anshan Normal University, Anshan 114007, Liaoning, PR China;2. The First Senior High School of Liaoyang County Liaoyang 111200, Liaoning, PR China;3. School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116029, PR China;1. University of Aix-Marseille, LSIS, France;2. DIEE, University of Cagliari, Italy;1. School of Computer and Electronic Information, Guangdong University of Petrochemical Technology, Maoming 525000,China;2. College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China;1. Ukrainian Institute of Agricultural Radiology of National University of Life and Environmental Sciences of Ukraine, Mashinobudivnykiv str.7, Chabany, Kyiv region, 08162 Ukraine;2. Institute of Environmental Radioactivity of Fukushima University, 1 Kanayagawa, Fukushima City, Fukushima Prefecture, 960-1296, Japan |
| |
| Abstract: | Based on spraying pesticide and introducing infected pest and natural enemy for pest control, an SI ecological epidemic model with different frequencies of pesticide applications and infected pests and natural enemy releases is proposed and studied. With spraying either more or less frequently than the releases, the threshold condition of existence and global attractiveness of susceptible pest extinction periodic solution is obtained. We investigate the effects of the pest control tactics on the threshold conditions. We also show that the system has rich dynamics including period-doubling bifurcations and chaos as the release period increases, which implies that the presence of impulsive intervention makes the dynamic behavior more complex. Finally, to see how the pesticide applications can be reduced, we develop a model involving periodic releases of natural enemies with chemical control applied only when the densities of the pest reaches the given Economic Threshold. It indicates that the hybrid method is the most effective method to control pest and the frequency of pesticide applications largely depends on the initial densities and the control tactics. |
| |
| Keywords: | Impulse control Pest management SI model Susceptible pest extinction periodic solution Global attractiveness |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
