Limit cycles in a Gause-type predator-prey model with sigmoid functional response and weak Allee effect on prey

2012 ◽  
Vol 35 (8) ◽  
pp. 963-975 ◽  
Author(s):  
Eduardo González-Olivares ◽  
Alejandro Rojas-Palma
Keyword(s):  
Functional Response ◽  
Limit Cycles ◽  
Allee Effect ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Sigmoid Functional Response

A Leslie–Gower-type predator–prey model with sigmoid functional response

2014 ◽  
Vol 92 (9) ◽  
pp. 1895-1909 ◽  
Author(s):  
Eduardo González-Olivares ◽  
Paulo C. Tintinago-Ruiz ◽  
Alejandro Rojas-Palma
Keyword(s):  
Functional Response ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Sigmoid Functional Response

scholarly journals Multiple limit cycles in a Leslie–Gower-type predator–prey model considering weak Allee effect on prey

2017 ◽  
Vol 22 (3) ◽  
pp. 347-365 ◽  
Author(s):  
Eduardo González-Olivares ◽  
◽  
Alejandro Rojas-Palma ◽  
Betsabé González-Yañez ◽  
◽  
...  
Keyword(s):  
Limit Cycles ◽  
Allee Effect ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect

2009 ◽  
Vol 69 (5) ◽  
pp. 1244-1262 ◽  
Author(s):  
Pablo Aguirre ◽  
Eduardo González-Olivares ◽  
Eduardo Sáez
Keyword(s):  
Limit Cycles ◽  
Allee Effect ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals A predator-prey model with allee effect and fast strategy evolution dynamics of predators using hawk and dove tactics

2011 ◽  
Vol 50 (1) ◽  
pp. 13-24
Author(s):  
Jitka Kühnová ◽  
Lenka Přibylová
Keyword(s):  
Limit Cycles ◽  
Allee Effect ◽  
Global Bifurcation ◽  
Prey Population ◽  
Bifurcation Of Limit Cycles ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Local Bifurcations ◽  
Prey Model ◽  
Evolution Dynamics

ABSTRACT In this work we present the predator-prey model with Allee effect and Hawk and Dove tactics in fighting over caught prey implemented as fast strategy evolution dynamics. We extend the work of Auger, Parra, Morand and S´anchez (2002) using the prey population embodying Allee effect and analogously to this work we get two connected submodels with polymorphic and monomorphic predator population.We get much richer dynamics, in each submodel we find local bifurcations (saddle-node, supercritical Hopf caused by Allee effect and Bogdanov- -Takens) and a global bifurcation of limit cycles caused by the strategy evolution that is not possible in any of the submodels that can lead to a bluesky extinction of both populations.

Sign in / Sign up

Export Citation Format

Share Document