Title :
A Predator-Prey System with Impulsive Effect
Author :
Wang, Lingshu ; Feng, Guanghui
Author_Institution :
Sch. of Math. & Stat., Hebei Univ. of Econ. & Bus., Shijiazhuang, China
Abstract :
A stage-structured predator-prey system with impulsive effect and Beddington-DeAngelis functional response is investigated. We shown that there exists a globally stable pest-eradication periodic solution by using the Floquet theorem and comparison theorem of impulsive differential equation. Further, conditions for the permanence of the system are established.
Keywords :
differential equations; predator-prey systems; Beddington-DeAngelis functional response; Floquet theorem; impulsive differential equation; impulsive effect; pest-eradication periodic solution; stage-structured predator-prey system; Covariance matrix; Extraterrestrial measurements; Filters; Genetic algorithms; Global Positioning System; Noise measurement; Predator prey systems; Satellite navigation systems; Silicon compounds; State estimation; extinction; impulsive effect; permanence; predator–prey system;
Conference_Titel :
Intelligent Computation Technology and Automation, 2009. ICICTA '09. Second International Conference on
Print_ISBN :
978-0-7695-3804-4
DOI :
10.1109/ICICTA.2009.130
