Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion and Holling type-II functional response

Science China Mathematics ◽

10.1007/s11425-013-4711-0 ◽

2013 ◽

Vol 57 (5) ◽

pp. 991-1010 ◽

Author(s):

Jun Zhou ◽

Chan-Gyun Kim

Keyword(s):

Functional Response ◽

Positive Solutions ◽

Type Ii ◽

Cross Diffusion ◽

Predator Model ◽

Type Ii Functional Response

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Hopf bifurcation of an age-structured prey–predator model with Holling type II functional response incorporating a prey refuge

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2019.03.014 ◽

2019 ◽

Vol 49 ◽

pp. 368-385 ◽

Author(s):

Peng Yang

Keyword(s):

Hopf Bifurcation ◽

Functional Response ◽

Type Ii ◽

Prey Refuge ◽

Age Structured ◽

Predator Model ◽

Type Ii Functional Response

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Dynamical Complexity of a Biological Prey-Predator Model with Generalized Holling Type II Functional Response

2015 8th International Conference on Intelligent Networks and Intelligent Systems (ICINIS) ◽

10.1109/icinis.2015.20 ◽

2015 ◽

Author(s):

Ji Zhang ◽

Fu Qin Sun

Keyword(s):

Functional Response ◽

Type Ii ◽

Dynamical Complexity ◽

Predator Model ◽

Type Ii Functional Response

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Positive steady states for a prey-predator cross-diffusion system with a protection zone and Holling type II functional response

Conference Publications ◽

10.3934/proc.2013.2013.597 ◽

2013 ◽

Keyword(s):

Functional Response ◽

Steady States ◽

Diffusion System ◽

Type Ii ◽

Protection Zone ◽

Cross Diffusion ◽

Positive Steady States ◽

Type Ii Functional Response

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Global existence of solutions to a cross-diffusion predator–prey system with Holling type-II functional response

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.02.007 ◽

2013 ◽

Vol 65 (8) ◽

pp. 1152-1162 ◽

Author(s):

Chenglin Li

Keyword(s):

Global Existence ◽

Functional Response ◽

Existence Of Solutions ◽

Type Ii ◽

Predator Prey ◽

Cross Diffusion ◽

Global Existence Of Solutions ◽

Prey System ◽

Type Ii Functional Response

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The effect of epidemic disease outbreaks on the dynamic behavior of a prey-predator model with Holling type II functional response

Communications in Mathematical Biology and Neuroscience ◽

10.28919/cmbn/6405 ◽

2021 ◽

Keyword(s):

Dynamic Behavior ◽

Functional Response ◽

Disease Outbreaks ◽

Type Ii ◽

Epidemic Disease ◽

Predator Model ◽

Type Ii Functional Response

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Stationary distribution and extinction of a stochastic one-prey two-predator model with Holling type II functional response

Stochastic Analysis and Applications ◽

10.1080/07362994.2019.1566005 ◽

2019 ◽

Vol 37 (3) ◽

pp. 321-345 ◽

Author(s):

Qun Liu ◽

Daqing Jiang

Keyword(s):

Functional Response ◽

Stationary Distribution ◽

Type Ii ◽

Predator Model ◽

Type Ii Functional Response

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Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II functional response and cross-diffusion

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2014.34.3875 ◽

2014 ◽

Vol 34 (9) ◽

pp. 3875-3899 ◽

Author(s):

Jun Zhou ◽

◽

Chan-Gyun Kim ◽

Junping Shi ◽

Keyword(s):

Steady State ◽

Functional Response ◽

Type Ii ◽

Predator Prey ◽

Cross Diffusion ◽

Predator Prey Model ◽

Positive Steady State ◽

Steady State Solutions ◽

Type Ii Functional Response

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DIFFUSION ANALYSIS OF A PREY-PREDATOR MODEL WITH HOLLING TYPE II FUNCTIONAL RESPONSE

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.5.78 ◽

2020 ◽

Vol 9 (5) ◽

pp. 3203-3212

Author(s):

G. Basava Kumar ◽

M. N. Srinivas ◽

V. Madhusudanan

Keyword(s):

Functional Response ◽

Type Ii ◽

Diffusion Analysis ◽

Predator Model ◽

Type Ii Functional Response

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Existence of positive solution for a cross-diffusion predator-prey system with Holling type-II functional response

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2017.04.001 ◽

2017 ◽

Vol 99 ◽

pp. 226-232 ◽

Author(s):

Chenglin Li

Keyword(s):

Positive Solution ◽

Functional Response ◽

Type Ii ◽

Predator Prey ◽

Cross Diffusion ◽

Prey System ◽

Type Ii Functional Response

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Analytical study and numerical simulation of diffusive prey predator model with Holling type II functional response

Journal of Physics Conference Series ◽

10.1088/1742-6596/1554/1/012039 ◽

2020 ◽

Vol 1554 ◽

pp. 012039

Author(s):

A Satria ◽

A R Putri ◽

M Syafwan

Keyword(s):

Numerical Simulation ◽

Functional Response ◽

Analytical Study ◽

Type Ii ◽

Predator Model ◽

Type Ii Functional Response

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