Lotka-Volterra predator-prey model (2)
Consider the Lotka-Voterra equations of interacting predator and prey systems
x'=x(a-kx-ny) y'=-y(b-cx)-d
where all of x, y, a, b, c, d, k, n are positive, and- x represents the number of prey
- y represents the number of predators
- a is the growth rate of the prey.
- b is the death rate of the predators independent of the prey.
- n is the is the rate of consumption of the prey per predator.
- a / k is the carrying capacity of the prey independent of the predators.
- c is the growth rate of the predator per prey consumed,
- d is prey harvesting.