Use appropriate numerical techniques, to evaluate the effect of the survival and predation parameters on population...

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Use appropriate numerical techniques, to evaluate the effect of the survival and predation parameters on population decay and growth. Lotka-Volterra Predator Prey model, dN dt dP dt =aN - BNP = SNP - P Where • a and y are the growth rates of each population treated in isolation • ß is the predation rate of population P (foxes) on population N (rabbits) • ō is the growth rate of population P through predation on population N Hint: start with a = 0.1 (10% increase), y = 0.15 (15% decrease) with = 0.005 and 5 = 0.002 and initial populations No = 100, Po = 10. Then design and carry out an investigation of the effect of changes in these parameters on the populations choosing illustrative examples. Use appropriate numerical techniques, to evaluate the effect of the survival and predation parameters on population decay and growth. Lotka-Volterra Predator Prey model, dN dt dP dt =aN - BNP = SNP - P Where • a and y are the growth rates of each population treated in isolation • ß is the predation rate of population P (foxes) on population N (rabbits) • ō is the growth rate of population P through predation on population N Hint: start with a = 0.1 (10% increase), y = 0.15 (15% decrease) with = 0.005 and 5 = 0.002 and initial populations No = 100, Po = 10. Then design and carry out an investigation of the effect of changes in these parameters on the populations choosing illustrative examples.

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