Reaction-Diffusion Predator-Prey System - Articles

Global Asymptotic Stability and Hopf Bifurcation in a Homogeneous Diffusive Predator-Prey System with Holling Type II Functional Response (Articles)

Shuangte Wang, Hengguo Yu, Chuanjun Dai, Min Zhao

Applied Mathematics Vol.11 No.5, May 22, 2020

DOI: 10.4236/am.2020.115028 652 Downloads 1,946 Views Citations
Intertemporal Model of Co-Existence of Two Rival Species: A Case of Vampires and Humans Co-Habitation (Articles)

Wadim Strielkowski, Evgeny Lisin, Emily Welkins

Modern Economy Vol.3 No.7, November 29, 2012

DOI: 10.4236/me.2012.37105 6,412 Downloads 10,232 Views Citations
Positive Periodic Solution for a Two-Species Predator-Prey System (Articles)

Meiyu Cao, Xiaoping Li, Xiangjun Dai

Applied Mathematics Vol.5 No.8, April 24, 2014

DOI: 10.4236/am.2014.58103 5,469 Downloads 11,920 Views Citations
Effects of Over-Harvesting and Drought on a Predator-Prey System with Optimal Control (Articles)

Alanus Mapunda, Eunice Mureithi, Nyimvua Shaban, Thadei Sagamiko

Open Journal of Ecology Vol.8 No.8, August 31, 2018

DOI: 10.4236/oje.2018.88028 1,236 Downloads 3,495 Views Citations
Permanence and Global Stability for a Non-Autonomous Predator-Prey Model with Modified Leslie-Gower and Holling-Type II Schemes with Delays (Articles)

Lin Hu, Linfei Nie

Applied Mathematics Vol.2 No.1, January 30, 2011

DOI: 10.4236/am.2011.21006 5,401 Downloads 10,454 Views Citations
Hopf Bifurcations in a Predator-Prey System of Population Allelopathy with Discrete Delay (Articles)

Xinhui Wang, Haihong Liu

Applied Mathematics Vol.3 No.6, June 27, 2012

DOI: 10.4236/am.2012.36099 4,667 Downloads 9,244 Views Citations
The Dynamical Behavior of a Certain Predator-Prey System with Holling Type II Functional Response (Articles)

Shuangte Wang, Hengguo Yu, Chuanjun Dai, Min Zhao

Journal of Applied Mathematics and Physics Vol.8 No.3, March 17, 2020

DOI: 10.4236/jamp.2020.83042 1,116 Downloads 2,666 Views Citations
The Dynamical Behavior of a Predator-Prey System with Holling Type II Functional Response and Allee Effect (Articles)

Shuangte Wang, Hengguo Yu, Chuanjun Dai, Min Zhao

Applied Mathematics Vol.11 No.5, May 25, 2020

DOI: 10.4236/am.2020.115029 742 Downloads 2,662 Views Citations
Analysis of a Stochastic Ratio-Dependent Predator-Prey System with Markovian Switching and Lévy Jumps (Articles)

Xuegui Zhang, Yuanfu Shao, Taolin Zhang

Journal of Applied Mathematics and Physics Vol.8 No.11, November 27, 2020

DOI: 10.4236/jamp.2020.811195 619 Downloads 1,726 Views Citations
Dynamical Behavior of Discrete Ratio-Dependent Predator-Prey System (Articles)

Mingxia Duan, Jiying Ma

Open Journal of Applied Sciences Vol.13 No.3, March 28, 2023

DOI: 10.4236/ojapps.2023.133032 237 Downloads 995 Views Citations
The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations (Articles)

Mahmoud A. E. Abdelrahman, Emad H. M. Zahran, Mostafa M. A. Khater

International Journal of Modern Nonlinear Theory and Application Vol.4 No.1, March 11, 2015

DOI: 10.4236/ijmnta.2015.41004 5,798 Downloads 8,877 Views Citations
Extended Jacobian Elliptic Function Expansion Method and Its Applications in Biology (Articles)

Emad H. M. Zahran, Mostafa M. A. Khater

Applied Mathematics Vol.6 No.7, June 25, 2015

DOI: 10.4236/am.2015.67107 3,450 Downloads 5,126 Views Citations
This article belongs to the Special Issue on Mathematical Modelling of Natural Phenomena
RETRACTED: The Modified Simple Equation Method and Its Applications in Mathematical Physics and Biology (Articles)

Mahmoud A. E. Abdelrahman, Magdi Hakeem Armanious, Emad H. M. Zahran, Mostafa M. A. Khater

American Journal of Computational Mathematics Vol.5 No.1, March 12, 2015

DOI: 10.4236/ajcm.2015.51001 4,971 Downloads 9,520 Views Citations
Pullback Exponential Attractors for Nonautonomous Reaction Diffusion Equations in H₀¹ (Articles)

Yongjun Li, Yanhong Zhang, Xiaona Wei

Journal of Applied Mathematics and Physics Vol.3 No.7, June 30, 2015

DOI: 10.4236/jamp.2015.37087 3,341 Downloads 4,342 Views Citations
Hopf Bifurcation Analysis for a Modified Time-Delay Predator-Prey System with Harvesting (Articles)

Yang Ni, Yan Meng, Yiming Ding

Journal of Applied Mathematics and Physics Vol.3 No.7, June 30, 2015

DOI: 10.4236/jamp.2015.37094 3,544 Downloads 5,145 Views Citations
Analytical Expressions for Steady-State Concentrations of Substrate and Product in an Amperometric Biosensor with the Substrate Inhibition—The Adomian Decomposition Method (Articles)

Anandan Anitha, Shunmugham Loghambal, Lakshmanan Rajendran

American Journal of Analytical Chemistry Vol.3 No.8, August 27, 2012

DOI: 10.4236/ajac.2012.38066 3,986 Downloads 7,437 Views Citations
Solution of non-linear boundary value problems in immobilized glucoamylase kinetics (Articles)

Swaminathan Sevukaperumal, Alagu Eswari, Lakshmanan Rajendran

Natural Science Vol.5 No.4, April 19, 2013

DOI: 10.4236/ns.2013.54061 4,412 Downloads 7,355 Views Citations
Dynamics Behaviors of a Reaction-Diffusion Predator-Prey System with Beddington-DeAngelis Functional Response and Delay (Articles)

Peng Du, Caixia Duan, Xinyuan Liao

Applied Mathematics Vol.5 No.6, April 2, 2014

DOI: 10.4236/am.2014.56080 4,325 Downloads 6,602 Views Citations
Solving Stiff Reaction-Diffusion Equations Using Exponential Time Differences Methods (Articles)

H. A. Ashi

American Journal of Computational Mathematics Vol.8 No.1, March 16, 2018

DOI: 10.4236/ajcm.2018.81005 1,475 Downloads 3,640 Views Citations
Control Schemes to Reduce Risk of Extinction in the Lotka-Volterra Predator-Prey Model (Articles)

Jessica Li

Journal of Applied Mathematics and Physics Vol.2 No.7, June 20, 2014

DOI: 10.4236/jamp.2014.27071 5,128 Downloads 8,201 Views Citations

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