Periodic solutions for an impulsive predator-prey model with Holling type functional response and time delays

Journal of Mathematical and Computational Science ◽

10.28919/jmcs/6597 ◽

2021 ◽

Keyword(s):

Periodic Solutions ◽

Functional Response ◽

Time Delays ◽

Predator Prey ◽

Predator Prey Model ◽

Holling Type Functional Response

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Periodic solutions for a predator–prey model with Holling-type functional response and time delays

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.12.054 ◽

2005 ◽

Vol 161 (2) ◽

pp. 637-654 ◽

Author(s):

Rui Xu ◽

M.A.J. Chaplain ◽

F.A. Davidson

Keyword(s):

Periodic Solutions ◽

Functional Response ◽

Time Delays ◽

Predator Prey ◽

Predator Prey Model ◽

Holling Type Functional Response

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Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator–prey model with Holling type functional response

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2003.06.005 ◽

2004 ◽

Vol 162 (2) ◽

pp. 341-357 ◽

Author(s):

Lin-Lin Wang ◽

Wan-Tong Li

Keyword(s):

Periodic Solutions ◽

Functional Response ◽

Predator Prey ◽

Predator Prey Model ◽

Ratio Dependent ◽

Holling Type Functional Response

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Positive periodic solutions for impulsive predator–prey model with dispersion and time delays

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.06.003 ◽

2010 ◽

Vol 217 (2) ◽

pp. 661-676 ◽

Author(s):

Ruixi Liang ◽

Jianhua Shen

Keyword(s):

Periodic Solutions ◽

Time Delays ◽

Positive Periodic Solutions ◽

Predator Prey ◽

Predator Prey Model ◽

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Periodic solutions in a delayed predator–prey model with nonmonotonic functional response

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2008.10.032 ◽

2009 ◽

Vol 10 (5) ◽

pp. 3275-3284 ◽

Author(s):

Yong-Hong Fan ◽

Lin-Lin Wang

Keyword(s):

Periodic Solutions ◽

Functional Response ◽

Predator Prey ◽

Predator Prey Model ◽

Nonmonotonic Functional Response

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HOPF BIFURCATION ANALYSIS OF A DENSITY PREDATOR-PREY MODEL WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE AND TWO TIME DELAYS

Journal of Applied Analysis & Computation ◽

10.11948/2156-907x.20190029 ◽

2019 ◽

Vol 9 (4) ◽

pp. 1589-1605

Author(s):

Chunxia Liu ◽

◽

Shumin Li ◽

Yan Yan ◽

Keyword(s):

Hopf Bifurcation ◽

Functional Response ◽

Bifurcation Analysis ◽

Time Delays ◽

Predator Prey ◽

Predator Prey Model ◽

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Existence of positive periodic solutions for an impulsive semi-ratio-dependent predator–prey model with dispersion and time delays

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.10.032 ◽

2010 ◽

Vol 215 (9) ◽

pp. 3390-3398 ◽

Author(s):

Zhenguo Luo ◽

Binxiang Dai ◽

Qianhong Zhang

Keyword(s):

Periodic Solutions ◽

Time Delays ◽

Positive Periodic Solutions ◽

Predator Prey ◽

Predator Prey Model ◽

Ratio Dependent

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Permanence and periodicity of a delayed ratio-dependent predator–prey model with Holling type functional response and stage structure

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.07.008 ◽

2009 ◽

Vol 233 (2) ◽

pp. 173-187 ◽

Author(s):

Zuxiong Li ◽

Lansun Chen ◽

Jianmin Huang

Keyword(s):

Functional Response ◽

Stage Structure ◽

Predator Prey ◽

Predator Prey Model ◽

Ratio Dependent ◽

Holling Type Functional Response

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Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2004.4.823 ◽

2004 ◽

Vol 4 (3) ◽

pp. 823-831 ◽

Author(s):

Rui Xu ◽

◽

M.A.J. Chaplain ◽

F.A. Davidson ◽

Keyword(s):

Periodic Solutions ◽

Time Delays ◽

Predator Prey ◽

Predator Prey Model ◽

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Multiplicity of periodic solutions for a delayed ratio-dependent predator–prey model with monotonic functional response and harvesting terms

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.07.046 ◽

2014 ◽

Vol 244 ◽

pp. 878-894 ◽

Author(s):

Yong-Hong Fan ◽

Lin-Lin Wang

Keyword(s):

Periodic Solutions ◽

Functional Response ◽

Predator Prey ◽

Predator Prey Model ◽

Ratio Dependent

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EXISTENCE OF PERIODIC SOLUTIONS OF NONAUTONOMOUS PREDATOR-PREY MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE AND TIME DELAY

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.10.5.27 ◽

2021 ◽

Vol 10 (5) ◽

pp. 2641-2652

Author(s):

S. Mahalakshmi ◽

V. Piramanantham

Keyword(s):

Periodic Solutions ◽

Functional Response ◽

Sufficient Conditions ◽

Coincidence Degree ◽

Predator Prey ◽

Predator Prey Model ◽

Existence Of Periodic Solutions

In this paper we establish some easily verifiable sufficient conditions for the existence of periodic solutions of nonautonomous Predator-Prey Model with Beddington-DeAngelis Functional response and time delay using Mowhins Coincidence degree method.

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