PREDATOR-PREY

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Positive Periodic Solution of a Discrete Predator-prey Patch-system被引量：1
《Acta Mathematicae Applicatae Sinica》2008年第4期627-642,共16页Shu-yuan Shen Pei-xuan Weng 
Supported by the National Natural Science Foundation of China(No.10571064);the National Sciences Foundation of Guangdong Province(No.04010364)
A periodic difference predator-prey model with Holling-（m ＋ 1）（m 〉 2） type functional response and impulses is established. Sufficient conditions are derived for the existence of periodic solutions by using a co...
关键词：Continuation theorem impulse Holling-（m ＋1） （m 〉 2） type functional response discretepredator-prey patch-system periodic solution 
Periodicity in a Nonlinear Predator-prey System with State Dependent Delays被引量：5
《Acta Mathematicae Applicatae Sinica》2005年第1期49-60,共12页Feng-deChen Jin-linShi 
Supported by the National Natural Science Foundation of China (Tian Yuan Foundation) (No.10426010);the Foundation of Science and Technology of Fujian Province for Young Scholars (2004J0002);the Foundation of Fujian Education Bureau (JA04156, JA0301
With the help of a continuation theorem based on Gaines and Mawhinscoincidence degree, easily verifiable criteria are established for the global existence of positiveperiodic solutions of the following nonlinear state...
关键词：periodic solutions NONLINEAR DELAY PREDATOR-PREY coincidence degree 
Permanence in Nonautonomous Predator-prey Lotka-Volterra Systems被引量：2
《Acta Mathematicae Applicatae Sinica》2002年第3期411-422,共12页Wu-jun Sun, Zhi-dong Teng, Yuan-hong YuDepartment of Applied Mathematics. Shanghai Jiaotong University, Shanghai 200030, ChinaDepartment of Mathematics, Xinjiang University. Urumqi 830046.Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 
In this paper some easily verifiable sufficient conditions on the permanence of solutions for general nonautonomous two-species predator-prey model are established. These new criteria improve and extend the results g...
关键词：Nonautonomous Lotka-Volterra system PREDATOR-PREY PERMANENCE EXTINCTION 
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