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Based on the viewpoint of ecology, the mathematical model describing the dynamic development of two enterprises is improved. The stability of the unique positive equilibrium and the existence of Hopf bifurcation are analyzed by choosing the sum τ of two delays as the bifurcation parameter and employing the Hopf bifurcation theory. It is found that when τ is less than a certain critical value, the...
A delayed Lotka–Volterra two-species predator–prey system with discrete hunting delay and distributed maturation delay for the predator population described by an integral with a strong delay kernel is considered. By linearizing the system at the positive equilibrium and analyzing the associated characteristic equation, the asymptotic stability of the positive equilibrium is investigated and Hopf...
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