Kinetic analysis of fractional eco-epidemiological systems with time delays in prey populations
This paper proposed a fractional eco-epidemic system with time delays and focused our analysis on the kinetic effects of introducing time delays on the system.Taking the time delay as the bifurcation parameter,it first analyzed the conditions of Hopf bifurcation near the positive equilibrium point by using the linearization method and the Laplace transform method,and then derived the formula of the critical value of the time delay.It is shown that when the delay passes the corresponding critical value,the system will lose stability and Hopf bifurcation will occur.With the increase of the system order,the system bifurcation occurs earlier.Finally,we conducted numerical simulations to validate the theoretical analysis and effect of fractional order changes on the stability domain of the system.
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