A stability criterion for periodic systems with first integrals
A sufficient condition for a system of ordinary differential equations to be technically contractively stable.
A Theorem on Average Liapunov Functions.
A within-host dengue infection model with immune response and nonlinear incidence rate
A model of viral infection of monocytes population by the dengue virus is formulated as a system of four ordinary differential equations. The model takes into account the immune response and nonlinear incidence rate of susceptible and free virus particles. Global stability of the uninfected steady state is investigated. Such a steady state always exists. If it is the only steady state, then it is globally asymptotically stable. If any infected steady state exists, then the uninfected...
An algorithm for checking Hurwitz stability of K-symmetrizable interval matrices
An application of the second Lyapunov method to stability investigation of differential equations with deviations
The paper presents overview of applications of A. M. Lyapunov’s direct method to stability investigation of systems with argument delay. Methods of building Lyapunov-Krasovskiy funcionals for linear systems with constant coefficients are considered. Lyapunov quadratic forms are used to obtain applicable methods for stability investigation and estimation of solution convergence for linear stationary systems, as well as non-linear control systems and systems with quadratic and rational right hand...
An epidemiological model of Rift Valley fever.
An estimate for the attraction domains of difference equations with periodic linear terms.
An improvement of the non-existence region for limit cycles of the Bogdanov-Takens system
In this paper, an improvement of the global region for the non-existence of limit cycles of the Bogdanov-Takens system, which is well-known in the Bifurcation Theory, is given by two ideas. The first is to apply the existence of the algebraic invariant curve of the system to the Bendixson-Dulac criterion, and the second is to consider a necessary condition in order that a closed orbit of the system includes two equilibrium points. In virtue of these methods, it shall be shown that our previous result...
An impulsive two-prey one-predator system with seasonal effects.
An instability theorem for a certain vector differential equation of fourth order.
Analysis of a simple vector-host epidemic model with direct transmission.
Analysis of an impulsive predator-prey system with Monod-Haldane functional response and seasonal effects.
Analysis of stability problems via matrix Lyapunov functions.
Analysis of The Impact of Diabetes on The Dynamical Transmission of Tuberculosis
Tuberculosis (TB) remains a major global health problem. A possible risk factor for TB is diabetes (DM), which is predicted to increase dramatically over the next two decades, particularly in low and middle income countries, where TB is widespread. This study aimed to assess the strength of the association between TB and DM. We present a deterministic model for TB in a community in order to determine the impact of DM in the spread of the disease....
Analysis of the predator-prey model with climax prey population
The aim of the contribution is to study ODE predator-prey system with a prey population embodying the Allee effect. Particular stationary points are analyzed and the results are illustrated by graphs of numerical solutions for various values of model parameters.
Analytical stability analysis of periodic systems by Poincaré mappings with application to rotorcraft dynamics.
Another approach to the theory of differential inequalities realtive to changes in the initial times.
Application de la méthode topologique de T. Ważewski à l'examen de l'instabilité de la solution banale d'un système d'équations différentielles
Around certain critical cases in stability studies in hydraulic engineering
It is considered the mathematical model of a benchmark hydroelectric power plant containing a water reservoir (lake), two water conduits (the tunnel and the turbine penstock), the surge tank and the hydraulic turbine; all distributed (Darcy-Weisbach) and local hydraulic losses are neglected,the only energy dissipator remains the throttling of the surge tank. Exponential stability would require asymptotic stability of the difference operator associated to the model. However in this case this stability...