competing

competing - Competing Species Models The general equations...

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Competing Species Models The general equations for competing species are of the form x = x ( ǫ 1 σ 1 x α 1 y ) y = y ( ǫ 2 σ 2 y α 2 x ) , where x and y are the populations of two species in some environ- ment, ǫ 1 and ǫ 2 are positive constants representing the growth rates of these species when there is no competition, σ 1 and σ 2 are positive constants representing intra-species competition for resurces, and α 1 and α 2 are positive constants representing inter-species competition. Depending on the values of the parameters, these models may be- have in various ways. We will concentrate on two of these: strong competition , in which one or the other species eventually dies out, with the winner determined by the initial conditions, and weak com- petition , in which both species can survive. We will make choose values for the parameters of these two types of models which keep our computations simple, not values corresponding to realistic mod- els.
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competing - Competing Species Models The general equations...

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