PREDATOR-PREY_MODEL

作品数：131被引量：144H指数：5
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Dynamics of stochastic predator-prey models with distributed delay and stage structure for prey被引量：2
《International Journal of Biomathematics》2021年第4期85-120,共36页Qun Liu Daqing Jiang Tasawar Hayat 
This work is supported by the National Natural Science Foundation of China(Nos.12001090,11871473);Shandong Provincial Natural Science Foundation(No.ZR2019MA010);the Fundamental Research Funds for the Central Universities of China(No.2412020QD024).
In this paper,we analyze two stochastic predator-prey models with distributed delay and stage structure for prey.For the nonautonomous periodic case of the model,by using Khasminskii’s theory of periodic solution,we ...
关键词：Stochastic predator-prey model stage structure distributed delay periodic solution positive recurrence 
Periodic Solution for a Stochastic Predator-Prey Model with Impulses and Holling-II Functional Response
《Journal of Applied Mathematics and Physics》2019年第10期2212-2230,共19页Yafei Yang Yuanfu Shao Mengwei Li 
Considering the mutual interference between species, a stochastic predator-prey model with impulses and Holling-II functional response is proposed in this paper. Firstly, by constructing an equivalent system without i...
关键词：STOCHASTIC IMPULSES Mutual Interference PERIODIC Solution 
Hopf Bifurcation and Stability Analysis for a Predator-prey Model with Time-delay被引量：1
《Chinese Quarterly Journal of Mathematics》2015年第1期93-106,共14页陈红兵 
Supported by the the NSF of Gansu Province(096RJZE106)
In this paper, a predator-prey model of three species is investigated, the necessary and sucient of the stable equilibrium point for this model is studied. Further, by introduc-ing a delay as a bifurcation parameter, ...
关键词：Hopf bifurcation stability time delay predator-prey system periodic solution 
A Lotka-Volterra Type Predator-prey Model in a Two-patchy Environment
《Chinese Quarterly Journal of Mathematics》2011年第4期475-487,共13页王丽丽 徐瑞 
Supported by the National Natural Science Foundation of China(10471066);Supported by the Ordnance Engineering College Foundation(YJJXM05013)
In this paper, a Lotka-Volterra type predator-prey model with time delays due to gestation of the predator and dispersal for both the prey and the predator is investigated. We first establish two different results on ...
关键词：DELAY dispersal periodic solution global stability 
PERIODIC SOLUTION AND PERSISTENCE FOR A THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY MODEL WITH TIME DELAYS IN TWO-PATCH ENVIRONMENTS被引量：4
《Journal of Systems Science & Complexity》2008年第2期226-238,共13页Desheng TIAN 
The research is supported by the Scientific Research Foundation of the Doctor Department of Hubei University of Technology.
The author considers a three-species ratio-dependent predator-prey model with time delay in a two-patch environments. This model is of periodic coefficients, which incorporates the periodicity of the environment. By m...
关键词：Coincidence degree periodic solution predator-prey model RATIO-DEPENDENT uniform persistence. 
Existence of Four Periodic Solutions of a Ratio-Dependent Predator-Prey Model with Exploited Terms被引量：1
《Wuhan University Journal of Natural Sciences》2008年第1期1-5,共5页TIAN Desheng ZHANG Zhengqiu 
Supported by the China Postdoctoral Science Foundation (20060400267)
We study a non-autonomous ratio-dependent predator-prey model with exploited terms. This model is of periodic coefficients, which incorporates the periodicity of the varying environment. By means of the coincidence de...
关键词：predator-prey model RATIO-DEPENDENT exploited term periodic solution coincidence degree 
EXISTENCE OF TWO PERIODIC SOLUTIONS TO A RATIO-DEPENDENT PREDATOR-PREY MODEL WITH PREDATOR'S HARVEST
《Annals of Differential Equations》2007年第4期492-498,共7页Tian Desheng Wang Mei Zeng Xianwu 
the Scientific Research Foundation of the Doctor Department of Hubei University of Technology
In this paper, we study a non-autonomous ratio-dependent predator-prey model with predator＇s harvest. By means of the coincidence degree theory, we establish sufficient conditions for the existence of at least two po...
关键词：predator-prey model RATIO-DEPENDENT predator＇s harvest periodic solution coincidence degree 
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 
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