Concept explainers
In Exercises 13—18.
(a) find the equilibrium points of the system.
(b) using HPGSystemSolver, sketch the direction field and phase portrait of the system, and
(c) briefly describe the behavior of typical solutions.
18.
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Differential Equations
- Ок Denote the owl and wood rat populations at time k by x = Rk where k is in months, Ok is the number of owls, and R is the number of rats (in thousands). Suppose OK and RK satisfy the equations below. Determine the evolution of the dynamical system. (Give a formula for XK.) As time passes, what happens to the sizes of the owl and wood rat populations? The system tends toward what is sometimes called an unstable equilibrium. What might happen to the system if some aspect of the model (such as birth rates or the predation rate) were to change slightly? Ok+1 = (0.2)0k + (0.5)RK Rk+1=(-0.16)0k + (1.1)Rk Give a formula for xk- xk = 4 ( D +C₂1arrow_forwardI put answer also with different variable. Just give me answer by putting my question variable. Thankuarrow_forwardSolve correctly will upvotearrow_forward
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