You could describe your model a bit more accurately in another post and ask why in your model the preys always get extinct. $$\frac = -y\gamma \space$, and therefore the population of predators will decrease exponentially.įollowing this model, your question is actually: Why are the parameters $\alpha$, $\beta$, $\xi$ and $\gamma$ not "set" in a way that predators cause the extinction of preys (and therefore their own extinction)? One might equivalently ask the opposite question? Why don't preys evolve in order to escape predators so that the population of predators crushes?Īs showed, you don't need a complex model to allow the co-existence of predators and preys.
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