TY - JOUR
T1 - Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response
AU - Arancibia-Ibarra, Claudio
AU - Aguirre, Pablo
AU - Flores, José
AU - van Heijster, Peter
PY - 2021/8/1
Y1 - 2021/8/1
N2 - We study the Bazykin predator-prey model with predator intraspecific interactions and ratio-dependent functional response and show the existence and stability of two interior equilibrium points. We prove that the model displays a wide range of different bifurcations, such as saddle-node bifurcations, Hopf bifurcations, homoclinic bifurcations and Bogdanov-Takens bifurcations. We use numerical simulations to further illustrate the impact changing the predator per capita consumption rate has on the basin of attraction of the stable equilibrium points, as well as the impact of changing the efficiency with which predators convert consumed prey into new predators.
AB - We study the Bazykin predator-prey model with predator intraspecific interactions and ratio-dependent functional response and show the existence and stability of two interior equilibrium points. We prove that the model displays a wide range of different bifurcations, such as saddle-node bifurcations, Hopf bifurcations, homoclinic bifurcations and Bogdanov-Takens bifurcations. We use numerical simulations to further illustrate the impact changing the predator per capita consumption rate has on the basin of attraction of the stable equilibrium points, as well as the impact of changing the efficiency with which predators convert consumed prey into new predators.
KW - Bifurcations
KW - Intraspecific interactions
KW - Predator-prey model
KW - Ratio-dependent functional response
U2 - 10.1016/j.amc.2021.126152
DO - 10.1016/j.amc.2021.126152
M3 - Article
AN - SCOPUS:85102256090
SN - 0096-3003
VL - 402
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
M1 - 126152
ER -