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Rabbits and Sheep live in the same area. Rabbits have a net birth rate of 21 rabbits per one rabbit per year while sheep

  

Rabbits and Sheep live in the same area. Rabbits have a net birth rate of 21 rabbits per one rabbit per year while sheep have a net birth rate of 4 sheep per one sheep per year. The competition for the available food in the area between the rabbits is defined with a coefficient of 2 while between the sheep it is defined with a coefficient of 1. Rabbits and Sheep also compete for the same resources with a coefficient of 3. (a) Write the ODE-based models of changes in the number of rabbits and sheep in this area over time. (b) Identify equilibrium point(s). (c) Check if the equilibrium point(s) are stable or not.

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a ODEbased models Lets denote the number of rabbits at time t as Rt and the number of sheep at time ... blur-text-image

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