An SIRS epidemic model of Japanese encephalitis.
Analysis of a delayed SIR model with nonlinear incidence rate.
Analysis of a Nonautonomous HIV/AIDS Model
In this paper we have considered a nonlinear and nonautonomous stage-structured HIV/AIDS epidemic model with an imperfect HIV vaccine, varying total population size and distributed time delay to become infectious due to intracellular delay between initial infection of a cell by HIV and the release of new virions. Here, we have established some sufficient conditions on the permanence and extinction of the disease by using inequality analytical technique....
Analysis of a simple vector-host epidemic model with direct transmission.
Analysis of a single species with diffusion in a polluted environment.
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 Synchronization in a Neural Population by a Population Density Approach
In this paper we deal with a model describing the evolution in time of the density of a neural population in a state space, where the state is given by Izhikevich’s two - dimensional single neuron model. The main goal is to mathematically describe the occurrence of a significant phenomenon observed in neurons populations, the synchronization. To this end, we are making the transition to phase density population, and use Malkin theorem to calculate...
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.
Anosov endomorphisms
Another approach to the theory of differential inequalities realtive to changes in the initial times.
Appendice à l’article d’Eduardo Corel : Calcul des réseaux de Levelt
Un algorithme est présenté pour calculer en toute généralité le « réseau de Levelt » pour un réseau donné.
Application de la méthode topologique de T. Ważewski à l'examen de l'instabilité de la solution banale d'un système d'équations différentielles
Application of Lyapunov's Direct Method to the Existence of Integral Manifolds of Impulsive Differential Equations
The present paper investigates the existence of integral manifolds for impulsive differential equations with variable perturbations. By means of piecewise continuous functions which are generalizations of the classical Lyapunov’s functions, sufficient conditions for the existence of integral manifolds of such equations are found.
Application of the Mean Ergodic Theorem to Certain Semigroups
Approximation of analytic functions by Kummer functions.
Approximation of limit cycle of differential systems with variable coefficients
The behavior of the approximate solutions of two-dimensional nonlinear differential systems with variable coefficients is considered. Using a property of the approximate solution, so called conditional Ulam stability of a generalized logistic equation, the behavior of the approximate solution of the system is investigated. The obtained result explicitly presents the error between the limit cycle and its approximation. Some examples are presented with numerical simulations.
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...