Stability analysis of a delayed SIR epidemic model with stage structure and nonlinear incidence.
Stability and bifurcation in a delayed predator-prey system with stage structure and functional response.
Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay.
Stability and Hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays
In this paper, a two-species Lotka-Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, the linear stability of the positive equilibrium is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and direction of Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical simulations...
Stability and Hopf bifurcation in a haematopoietic stem cells model.
Stability switches for some class of delayed population models
We study stability switches for some class of delay differential equations with one discrete delay. We describe and use a simple method of checking the change of stability which originally comes from the paper of Cook and Driessche (1986). We explain this method on the examples of three types of prey-predator models with delay and compare the dynamics of these models under increasing delay.