Table 1: The evolutionary stable state in LVM and AM.

LVM AM LVM AM





A comparison between evolutionary stable state of the models LVM and AM is given. Parameters represent fighting cost, carrying capacity of prey, natural mortality rate of prey, a conversion positive coefficient into biomass of predators, a positive parameter in functional response, respectively. Two cases are recognized by considering whether is smaller than or not. Furthermore, parameter region can be divided into three parts according to the evolutionary stable state in two models for each case. It shows that the stable state for two modes appears as either kept a constant with only prey at carrying capacity, or coexistence of prey and predators with a variation of population density, or a change between only prey at carrying capacity and coexistence of prey and predators. The values of and are given in the main text.