1. Two species,A and B, are in competition and are both preys of a third species

Question

1. Two species,A and B, are in competition and are both preys of a third species,C. Suppose there is a migration (from somewhere else) of species C into the region at the ratem individuals per unitime, but there is no migration of species A and B.

(a) Assuming the Population Law of Mass Action, formulate a mathematical model for this ecosystem.

(b) Suppose the species Cis being hunted by human-beings, and the rate that it is being captured is jointly proportional to the population of C and the number of hunters. Formulated a mathematical model for this ecosystem.

Explanation / Answer

A) law of mass action is a mathematical model that explains and predicts behaviours of solution in dynamic equilibrium

The so the concentration of c increases to double where as the other two remains constant.

so the affinity =alpha (A) (B)

But affinity =alpha(A) (B)/2

But if (C)(H)alpha=beta(A)(B)

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