# Lotka-Volterra model

- Author:
- Juan Carlos Ponce Campuzano

- Topic:
- Differential Equation, Equations

Consider the Lotka-Voterra equations of interacting predator and prey systems

*x*'=*x*(*a*-c*x*-d*y*)
*y*'=-*y*(*b*-e*x*)-*h*

*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.*d*is the is the rate of consumption of the prey per predator.*a*/ c is the carrying capacity of the prey independent of the predators.*e*is the growth rate of the predator per prey consumed,*h*is prey harvesting.