Differential equations (little exercise of mathematics) ?


Can help me to solve this exercise?

It says:

Consider the system in which species p and q interact, described by the

following system of differential equations:{p'=0.5.(1 - 0.01p - 0.005q).p{q'=0.2.(1 - 0.002p - 0.03q).qIt asks:a) Explain the meaning of the parameters of each differential equation in terms of the type of interaction and the type of growth each species has in the absence of the other.

b)Construct the Jacobian matrix, evaluating the derivatives at the not trivial equilibrium point , and explain what kind of balance it is.c) Explain what the long-term trend of the system is.


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