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Dynamic Analysis of a Predator-Prey Model with Holling-II Functional Response: 《Journal of Applied Mathematics and Physics》2023年第10期2871-2878,共8页Jiemin Mo Wanying Li Donghuan He Songbo Wang Xiaoliang Zhou; A predator-prey model with linear capture term Holling-II functional response was studied by using differential equation theory. The existence and the stabilities of non-negative equilibrium points of the model were d...; 关键词：Predator-Prey Model Holling-II Functional Response Equilibrium Point STABILITY

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

Impact of time delay and cooperation strategy on the stability of a predator-prey model with Holling type III functional response: 《International Journal of Biomathematics》2023年第3期165-193,共29页I.Benamara A.El Abdllaouit J.Mikramt; In this paper,we propose and analyze a delayed predator-prey model with Holling type III functional response taking into account cooperation behavior in predators.The time delay is introduced in the attack rate to rep...; 关键词：Predator-prey system Holling type III discrete delay cooperative hunting HOPF-BIFURCATION switch of stability

Dynamics of a stochastic Holling II predator-prey model with Levy jumps and habitat complexity: 《International Journal of Biomathematics》2021年第6期297-312,共16页Guangjie Li Qigui Yang; supported by the National Natural Science Foundation of China(Nos.11901398,11671149,11871225 and 11771102);Guangdong Basic and Applied Basic Research Foundation(No.2019A1515011350);the Fundamental Research Funds for the Central Universities(No.2018MS58).; This paper investigates a stochastic Holling II predator-prey model with Levy jumps and habit complexity.It is first proved that the established model admits a unique global positive solution by employing the Lyapunov...; 关键词：Stochastic predator-prey model JUMPS Holling II type functional response habitat complexity stochastic ultimate boundedness persistence and extinction.

The Existence and Non-Existence of Positive Steady State Solutions for a Cross-Diffusion Predator-Prey Model with Holling Type Ⅱ Functional Response: 《Journal of Mathematical Research with Applications》2021年第4期383-392,共10页Shuping CAO Li-na ZHANG; Supported by the National Natural Science Foundation of China(Grant No.11761063).; In this paper,we consider the positive steady state solutions of a predator-prey model with Holling type Ⅱfunctional response and cross-diffusion,where two cross-diffusion rates represent the tendency of prey to keep...; 关键词：predator-prey model Holling typeⅡfunctional response CROSS-DIFFUSION coexistence states

Stability and bifurcation for a stochastic differential algebraic Holling-Ⅱ predator-prey model with nonlinear harvesting and delay: 《International Journal of Biomathematics》2021年第4期67-84,共18页Yantao Luo Long Zhang Zhidong Teng Tingting Zheng; This work was supported by the Natural Science Foundation of China(Grant Nos.11861065,11771373 and 11961066);the Natural Science Foundation of Xinjiang Province of China(Grant No.2019D01C076);The Doctoral innovation project of Xinjiang University(XJUBSCX-2017005);the graduate research innovation project of Xinjiang Province(XJ2019G007);the China Scholarship Council under a joint-training program at Memorial University of Newfoundland(201907010023).; In this paper,a stochastic delayed differential algebraic predator-prey model with Michaelis-Menten-type prey harvesting is proposed.Due to the influence of gestation delay and stochastic fluctuations,the proposed mod...; 关键词：Differential algebraic stochastic fluctuation PREDATOR-PREY DELAY HARVEST

Stability and Bifurcation Analysis of a Discrete Predator-Prey Model with Mixed Holling Interaction被引量：2: 《Computer Modeling in Engineering & Sciences》2020年第3期907-921,共15页M.F.Elettreby Tamer Nabil A.Khawagi; the Deanship of Scientific Research at King Khalid University for funding this work through the Big Research Group Project under grant number(R.G.P2/16/40).; In this paper,a discrete Lotka-Volterra predator-prey model is proposed that considers mixed functional responses of Holling types I and III.The equilibrium points of the model are obtained,and their stability is test...; 关键词：Predator-prey model functional response of Holling type stability and bifurcation analysis chaos.

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

Long-time behavior of a stochastic predator-prey model with modified Leslie-Gower and Holling-type II schemes被引量：3: 《International Journal of Biomathematics》2016年第3期121-138,共18页Yuguo Lin Daqing Jiangt; In this paper, we consider a stochastic predator-prey model with modified Leslie-Gower and Holling-type II schemes. We analyze long-time behavior of densities of the distri- butions of the solution. We prove that the ...; 关键词：Diffusion process Markov semigroups asymptotic stability.

Almost periodic solution of a modified Leslie-Gower predator-prey model with Holling-type II schemes and mutual interference被引量：8: 《International Journal of Biomathematics》2014年第3期81-95,共15页Shengbin Yu Fengde Chen; In this paper, we consider a modified Leslie-Clower predator prey model with Holling- type II schemes and mutual interference. By applying the comparison theorem of the differential equation and constructing a suitabl...; 关键词：Leslie-Gower model mutual interference PERMANENCE almost periodic solu-tion global attractivity.

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