Limit behavior of solutions of ordinary linear differential equations.
Limit Circle Results for Second Order Equations.
Limit cycles in the Holling-Tanner model.
This paper deals with the following question: does the asymptotic stability of the positive equilibrium of the Holling-Tanner model imply it is also globally stable? We will show that the answer to this question is negative. The main tool we use is the computation of Poincaré-Lyapunov constants in case a weak focus occurs. In this way we are able to construct an example with two limit cycles.
Limit properties of solutions of singular second-order differential equations.
Limits of solutions of a perturbed linear differential equation.
Linear impulsive dynamic systems on time scales.
Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions
Linear Stability of Fractional Reaction - Diffusion Systems
Theoretical framework for linear stability of an anomalous sub-diffusive activator-inhibitor system is set. Generalized Turing instability conditions are found to depend on anomaly exponents of various species. In addition to monotonous instability, known from normal diffusion, in an anomalous system oscillatory modes emerge. For equal anomaly exponents for both species the type of unstable modes is determined by the ratio of the reactants' diffusion coefficients. When the ratio exceeds its normal...
Linear stability theory of solitary waves arising from Hamiltonian systems with symmetry
Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via Riccati equations.
Linearized stability results in continuous interpolation spaces
Local and global properties of nonautonomous dynamical systems and their application to competition models.
Local asymptotic stability for nonlinear quadratic functional integral equations.
Local Bifurcations in a Nonlinear Model of a Bioreactor
This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02– 359/2008.We consider a nonlinear model of a continuously stirred bioreactor and study the stability of the equilibrium points with respect to practically important model parameters. We determine regions in the parameter space where the steady states undergo transcritical and Hopf bifurcations. In the latter case, the stability of the emerged limit cycles is also studied. Numerical simulations in the computer algebra...
Local method of nonlinear analysis
Lyapunov numbers for a countable system of ordinary differential equations
Lyapunov stability and stability at constantly acting disturbances of an abstract differential equation of the second order
Lyapunov stability of quasilinear implicit dynamic equations on time scales.
Lyapunov stability theory for dynamic systems on time scales.
Mathematical analysis of a within-host model of malaria with immune effectors and Holling type II functional response
In this paper, we consider a within-host model of malaria with Holling type II functional response. The model describes the dynamics of the blood-stage of parasites and their interaction with host cells, in particular red blood cells and immune effectors. First, we obtain equilibrium points of the system. The global stability of the disease-free equilibrium point is established when the basic reproduction ratio of infection is R₀< 1. Then the disease is controllable and dies out. In the absence...