PREDATOR-PREY_MODEL

作品数:131被引量:144H指数:5
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Stability and Turing Patterns of a Predator-prey Model with Holling Type Ⅱ Functional Response and Allee Effect in Predator被引量:2
《Acta Mathematicae Applicatae Sinica》2023年第3期675-695,共21页Lu CHEN Feng YANG Yong-li SONG 
the National Natural Science Foundation of China (No.11971143;12071105);Zhejiang Provincial Natural Science Foundation of China (No.LZ23A010001)。
In this paper, we are concerned with a predator-prey model with Holling type Ⅱ functional response and Allee effect in predator. We first mathematically explore how the Allee effect affects the existence and stabilit...
关键词:predator-prey model Allee effect DIFFUSION STABILITY Turing bifurcation 
Stability and Hopf Bifurcation Analysis of a Predator-Prey Model with Time Delayed Incomplete Trophic Transfer被引量:1
《Acta Mathematicae Applicatae Sinica》2015年第1期235-246,共12页Chang-qin ZHANG Liping LIU Ping YAN Lin-zhong ZHANG 
Supported by the Anhui Provincial Department of National Land and Resources with their Science and Technology Project entitled "Research on a Dynamic Monitoring Land Usage,Evaluation and Decision Support Management System in Wanjiang Demonstration Area"(Grant No.2011-K-23);Anhui Agricultural University,China(Grant No.YJ2012-03,No.XK2013029 and No.11201002);The Natural Sciences and Engineering Research Council of Canada
A new nonlinear predator-prey model with incomplete trophic transfer is introduced. In this model, we assume that the rate of the trophic absorption of the predator is less than the rate of the conversion of consumed ...
关键词:incomplete trophic transfer time delay Ivlev-type existence and uniqueness STABILITY HOPFBIFURCATION 
Bogdanov-Takens Bifurcation in a Leslie-Gower Predator-prey Model with Prey Harvesting被引量:2
《Acta Mathematicae Applicatae Sinica》2014年第1期239-244,共6页Yi-jun GONG Ji-cai HUANG 
Supported by the National Natural Science Foundation of China(No.11101170);Research Project of the Central China Normal University(No.CCNU12A01007);the State Scholarship Fund of the China Scholarship Council(2011842509)
This paper discuss the cusp bifurcation of codimension 2 (i.e. Bogdanov-Takens bifurcation) in a Leslie^Gower predator-prey model with prey harvesting, which was not revealed by Zhu and Lan [Phase portraits, Hopf bi...
关键词:Leslie-Gower predator-prey model Bogdanov-Takens bifurcation limit cycle homoclinic loop 
Existence of at Least Two Periodic Solutions of a Ratio-dependent Predator-prey Model with Exploited Term被引量:23
《Acta Mathematicae Applicatae Sinica》2005年第3期489-494,共6页De-sheng Tian Xian-wu Zeng 
Supported by the National Natural Science Foundation of China (No.19531070)
In this paper, we study a non-autonomous ratio-dependent predator-prey model with exploited term. By means of the coincidence degree theory, we establish a sufficient condition for the existence of at least two positi...
关键词:Predator-prey model RATIO-DEPENDENT exploited term periodic solution coincidence degree 
Periodic Solutions of a Delayed Predator-Prey Model with Stage Structure for Prey
《Acta Mathematicae Applicatae Sinica》2004年第2期323-332,共10页RuiXu Lan-sunChent Fei-longHao 
A periodic predator-prey model with stage structure for prey and time delays due to negative feed-back and gestation of predator is proposed.By using Gaines and Mawhin's continuation theorem of coincidencedegree theor...
关键词:Stage structure predator-prey model time delay periodic solution 
The Dynamics of a Predator-prey Model with Ivlev's Functional Response Concerning Integrated Pest Management被引量:9
《Acta Mathematicae Applicatae Sinica》2004年第1期133-146,共14页BingLiu YingZhi Lan-sunChen 
Supported by National Natural Science Foundation of China (No.10171106)
A mathematical model of a predator-prey model with Ivlev’s functional response concerning integrated pest management (IPM) is proposed and analyzed. We show that there exists a stable pest-eradication periodic soluti...
关键词:IPM strategy Ivlev’s functional response Impulsive effect EXTINCTION PERMANENCE 
MULTIPLE LIMIT CYCLES AND GLOBAL STABILITY IN PREDATOR-PREY MODEL被引量:3
《Acta Mathematicae Applicatae Sinica》1999年第2期206-219,共14页王育全 井竹君 陈启元 
A predator-prey system is investigated for the global stability and existences of limit cycleand at least two limit cycles by using qualitative analysis and the idea of Poincare'-BendixsonTheoy.
关键词:Predater-pery system global stability existence of one or two limit cycles 
THE PREDATOR-PREY MODEL WITH TWO LIMIT CYCLES被引量:5
《Acta Mathematicae Applicatae Sinica》1989年第1期30-32,共3页任永泰 韩莉 
This paper investigates the predator-prey system:x=k_1(x-ax)-k(x)y,y=(-k_3+βk(x)ywit.k(x)=k_2x, x≤x, k_2x, x>τ,where α, β, τ; k_1, k_2, k_3 are positive constants.The main results are as follows(i) In case k_3-...
关键词:TH LINE 
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