Solve the predator prey model developed in (a) above and use the solution to show that...

  

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Solve the predator prey model developed in (a) above and use the solution to show that in the absence of the predators, the prey grows exponentially and in the absence of the prey the predator population dries out. Given the system of equations below dx dt =x-y + xy dt = 3x - 2y-xy, whwre x-prey and y-predator. Verify that (0, 0) is a critical point and also show that the system is almost linear and discuss the type and stability of the critical point (0, 0) Solve the predator prey model developed in (a) above and use the solution to show that in the absence of the predators, the prey grows exponentially and in the absence of the prey the predator population dries out. Given the system of equations below dx dt =x-y + xy dt = 3x - 2y-xy, whwre x-prey and y-predator. Verify that (0, 0) is a critical point and also show that the system is almost linear and discuss the type and stability of the critical point (0, 0)

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To solve the predatorprey model and analyze the critical point 0 0 we start with the given system of differential equations dxdt x y xy dydt 3x 2y xy ... View the full answer