Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure.
Stability analysis of stochastic Ricker population model,.
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 optimal harvesting of a prey-predator model with stage structure for predator
The dynamics of a prey-predator system, where predator has two stages, a juvenile stage and a mature stage, is modelled by a system of three ordinary differential equations. Stability and permanence of the system are discussed. Furthermore, we consider the harvesting of prey species and obtain the maximum sustainable yield and the optimal harvesting policy.
Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes
A diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes is considered. Local stability for each constant steady state is studied by analyzing the eigenvalues. Some simple and easily verifiable sufficient conditions for global stability are obtained by virtue of the stability of the related FDE and some monotonous iterative sequences. Numerical simulations and reasonable biological explanations are carried out to illustrate the main results and the justification...
Stability of a two-strain tuberculosis model with general contact rate.
Stability of finite difference schemes for certain problems in biology
We consider a generalized 1-D von Foerster equation. We present two discretization methods for the initial value problem and study stability of finite difference schemes on regular meshes.
Stability of the Endemic Coexistence Equilibrium for One Host and Two Parasites
For an SI type endemic model with one host and two parasite strains, we study the stability of the endemic coexistence equilibrium, where the host and both parasite strains are present. Our model, which is a system of three ordinary differential equations, assumes complete cross-protection between the parasite strains and reduced fertility and increased mortality of infected hosts. It also assumes that one parasite strain is exclusively vertically...
Stability of the positive point of equilibrium of Nicholson's blowflies equation with stochastic perturbations: numerical analysis.
Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay.
Stability on coupling SIR epidemic models with vaccination.
Stability results on age-structured SIS epidemic model with coupling impulsive effect.
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.
Stabilization and control of some microbial populations
Stabilization for a periodic predator-prey system.
Stage-structured impulsive model for pest management.
Statistical estimation of the dynamics of watershed dams
In the present study the notion of watershed contour dynamics, defined within the framework of mathematical morphology, is examined. It is shown that the dynamics are a direct measure of the “sharpness” of transition between neighboring watershed basins. The expressions for the expected value and the statistical error of the estimation of contour dynamics are derived in the presence of noise, based on extreme value theory. The sensitivity of contour dynamics to noise is studied. A statistical approach...
Statistical Study of a Stochastic Model of Two Interacting Species.