Bifurcation analysis of a predator-prey model with predators using hawk and dove tactics
Auger, P., Kooi, B. W., Bravo de la Parra, R. and Poggiale, J. C. 2006.
Bifurcation analysis of a predator-prey model with predators using hawk and dove tactics.
Theor Pop Biol 238: 597-607
Most classical prey-predator models do not take into account the
behavioural structure of the population. Usually, the predator and
the prey populations are assumed to be homogeneous, i.e. all
individuals behave in the same way. In this work, we shall take into
account different tactics that predators can use for exploiting a
common self-reproducing resource, the prey population. Predators
fight together in order to keep or to have access to captured prey
individuals. Individual predators can use two behavioural tactics
when they encounter to dispute a prey, the classical hawk and dove
tactics. We assume two different time scales. The fast time scale
corre- sponds to the interspecific searching and handling for the
prey by the predators and the intraspecific fighting between the
predators. The slow time scale corresponds to the (logistic) growth
of the prey population and mortality of the predator. We take
advantage of the two time scales to reduce the dimension of the
model and to obtain an aggregated model that describes the
dynamics of the total predator and prey densities at the slow time
scale. We present the bifurcation analysis of the model and the
effects of the different predator tactics on persistence and stability
of the prey-predator community are discussed.