1. Symbol Description:
The number of prey at time x 1(t)-t; X2 (t)-the number of predators at time t;
R1-the growth rate of prey when it lives independently; The mortality of rate predator when it exists alone;
λ1-predation ability of predator; λ2—— The feeding ability of prey to predators.
Electron capture capacity coefficient
2. Basic assumptions:
(1) Due to the existence of predators, the growth rate of prey decreases, assuming that the degree of decline is proportional to the number of predators;
(2) Predators' mortality rate decreases or increases due to the food provided by their prey, which is assumed to increase.
The degree is proportional to the number of prey.
3. Model establishment and solution
Manual capture is not considered.
dx 1/dt = x 1(r 1-λ 1x 2)
dx2/dt=x2(-r2+λ2x 1)