Abstract
The dynamic of a system of two mutualist preys which are preyed by the same predator is analyzed. As an effect of the mutualism, the carrying capacity of each prey population increases as the population size of the other increases. First, the dynamics of a prey and predator population are studied, and the conditions for coexistence are found. Then, the effect of the inclusion of a new prey on the previous predator–prey relationship is studied. In particular, dynamical properties such as Bogdanov–Takens bifurcation are preserved. The coexistence of the three species occurs by a stable equilibrium point or a stable limit cycle. Numerical simulations to exemplify the analytical results are given.
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