Title :
Study on the mathematical model of virus infection in pest management
Author :
Jingjin Zhang ; Zhongyi Xiang
Author_Institution :
Key Lab. of Biologic Resources Protection & Utilization of Hubei Province, Enshi, China
fDate :
May 31 2014-June 2 2014
Abstract :
In this paper, we consider the pest is infected by virus, and the natural enemies have functional response of Beddington-DeAngelis. Making use of Floquet theory, comparison theory and small amplitude perturbations to get the condition of pest-eradication periodic solution locality asymptotical stability and continue existence. The conclusion contributes to control pests.
Keywords :
asymptotic stability; pest control; Beddington-DeAngelis; Floquet theory; amplitude perturbations; asymptotical stability; comparison theory; functional response; mathematical model; pest control; pest management; pest-eradication periodic solution locality; virus infection; Asymptotic stability; Biological system modeling; Chemicals; Predator prey systems; Sociology; Statistics; Control pest; Natural enemy; Pest-eradication; Virus;
Conference_Titel :
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location :
Changsha
Print_ISBN :
978-1-4799-3707-3
DOI :
10.1109/CCDC.2014.6852426