Title :
Modelling and Analysis of a Predator-Prey System with Pulses and Time Delay
Author :
Wang, Lingshu ; Feng, Guanghui
Author_Institution :
Sch. of Math. & Stat., Hebei Univ. of Econ. & Bus., Shijiazhuang, China
Abstract :
Based on integrated pest management, a stage-structured predator-prey model with pulses and time delay is proposed and investigated. Sufficient conditions are derived for the global attractivity of the pest-eradication periodic solution and the permanence of the system. We also show that time delay, pulse catching rate and the period of pulsing can affect the dynamics of the system.
Keywords :
delays; pest control; predator-prey systems; integrated pest management; pest-eradication periodic solution; predator-prey system; pulse catching rate; pulsing period; time delay; Analytical models; Computational modeling; Computer simulation; Conference management; Delay effects; Mathematical model; Mathematics; Predator prey systems; Statistical analysis; Sufficient conditions; extinction; permanence; predator-prey model; stage structure; time delay;
Conference_Titel :
Computer Modeling and Simulation, 2010. ICCMS '10. Second International Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-1-4244-5642-0
Electronic_ISBN :
978-1-4244-5643-7
DOI :
10.1109/ICCMS.2010.56
