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A generalized Lotka-Volterra system can be modeled by {(x)=xρ(x)-yp(x)=(y)(-ψ(y) + γp(x))(1)where x and y represent the density of the prey and the predator, respectively.The growth rate p(x) =1-k1x-k2x2 governs the growth of the prey in the absence of predator.The function p(x) describes the predator functional response, and then the product yp(x) denotes the rate at which prey is consumed.The function ψ(y) =δv + δ1y denotes the death rate of the predator.δ1 can be used to model predator intraspecific competition that is not direct competition for food, such as some ty.pe of territoriality, and γ is the efficiency rate of the predator in predating.