TY - JOUR
T1 - Dynamical analysis of a prey-predator model incorporating a prey refuge with variable carrying capacity
AU - Al-Salti, N.
AU - Al-Musalhi, F.
AU - Gandhi, V.
AU - Al-Moqbali, M.
AU - Elmojtaba, I.
N1 - Publisher Copyright:
© 2020 Elsevier B.V.
PY - 2021/1
Y1 - 2021/1
N2 - A prey-predator model incorporating prey refuge with variable carrying capacity and Holling type-II functional response is proposed and analyzed. The model includes a case of increasing carrying capacity as well as a decreasing carrying capacity case. Sufficient conditions are derived to ensure the existence and local stability of the equilibrium points of the proposed model. Moreover, the occurrence of transcritical bifurcation as well as Hopf bifurcation are investigated. The effect of some model parameter related to the prey refuge and the variable carrying capacity on the prey-predator dynamics has been examined. Numerical simulations are presented to demonstrate the theoretical results and to illustrate the effect of these parameters on the model dynamics. Moreover, a comparison with the constant carrying case has been presented.
AB - A prey-predator model incorporating prey refuge with variable carrying capacity and Holling type-II functional response is proposed and analyzed. The model includes a case of increasing carrying capacity as well as a decreasing carrying capacity case. Sufficient conditions are derived to ensure the existence and local stability of the equilibrium points of the proposed model. Moreover, the occurrence of transcritical bifurcation as well as Hopf bifurcation are investigated. The effect of some model parameter related to the prey refuge and the variable carrying capacity on the prey-predator dynamics has been examined. Numerical simulations are presented to demonstrate the theoretical results and to illustrate the effect of these parameters on the model dynamics. Moreover, a comparison with the constant carrying case has been presented.
KW - Holling type-II functional response
KW - Prey refuge
KW - Prey-predator model
KW - Variable carrying capacity
UR - http://www.scopus.com/inward/record.url?scp=85097377766&partnerID=8YFLogxK
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U2 - 10.1016/j.ecocom.2020.100888
DO - 10.1016/j.ecocom.2020.100888
M3 - Article
AN - SCOPUS:85097377766
SN - 1476-945X
VL - 45
JO - Ecological Complexity
JF - Ecological Complexity
M1 - 100888
ER -