# Professor Park Computer Assignment #4 Problem 14.xls -...

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93e14f9d8b79a74c0460cfdc10937eafcd549c9c.xlsPage 1Numerical Solution of System dx/dt = f(t,x,y), dy/dt = g(t,x,y)NameSanjana Ahmed Assignment #4 Exercise #14f(t,x,y).25*x*(1-(x/200)-(y/50))g(t,x,y).10*y*(1-(y/100)-(x/100))Initial ConditionsInitial time 0Final time 100Initial x value100Initial y value25Approximation Data# of subintervals1000t =0.00Type Comments Here:The X axis is reprsentative of the predators in the populaion and conversely, the Y axis represents the prey items within the model. From the data we saftely conclude that amount of predators will increase as they consume the prey tems however, the predators when soon begin to level off in popoulation as food availability decreases. When there are very few prey items remaing the predator population will graually decrease in size. Alternatively,the prey within the population will experiece a gradual resurgence, ultimately returning the population to its initial permutation. 0102030405060708090100020406080100120Solution Curvesx(approx)y (approx)tx, y 80100120140160180200051015202530