Abstract

This work studies the influence of fuzzy uncertainties on the asymptotic behavior of the solution of a prey-predator model. Here, initial conditions and parameters are interpreted as fuzzy variable. The population densities at a specific time are also interpreted as a fuzzy variable in which the possibility distribution function depends on the possibility distribution functions of the parameters. We provide closed formulas for expected values of some equilibrium points. We also compare the expected value of the fuzzy solution with the deterministic solution providing computational simulations in order see the difference between theses approaches.

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