Consider the components model dp dt pa benp solve the equ

Consider the components model dp / dt = p(a - benp) solve the equation, discuss its equilibrium and stability, and use the model to simulate the growth of some cancer cells. Consider the Latka-volterra predator-Prey model dx / dt = x (a - bz) dz / dt = y (-d + cx). Where x(t) - density of prey population at time t y(t) - density of predator population at t, solve for the solutions, discuss the periodic solutions, and equlibria and their stability. Study the SIR model and apply it to some infections diseases.

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