A nonlinear mathematical model of COVID-19 containing asymptomatic as well symptomatic classes infected individuals is considered and examined in the current paper. The largest eigenvalue next-generation matrix known reproductive number obtained for model, serves an epidemic indicator. To better understand dynamic behavior continuous unconditionally stable nonstandard finite difference (NSFD) s...

The aim of this work is to study qualitative dynamical properties a generalized hepatitis B epidemic model and its dynamically consistent discrete model. Positivity, boundedness, the basic reproduction number asymptotic stability are analyzed rigorously. By Lyapunov theory Poincare–Bendixson theorem in combination with Bendixson-Dulac criterion, we show that disease-free equilibrium point globa...

In this chapter, some real-life model problems that can be formulated as ordinary differential equations (ODEs) are introduced and numerically studied. These models are the variable-order fractional Hodgkin–Huxley model of neuronal excitation (VOFHHM) and other models with the variable-order fractional (VOF) time delay, such as the 4year life cycle of a population of lemmings model, the enzyme ...

Coronavirus disease 2019 (COVID-19) is an infection that can result in lung issues such as pneumonia and, extreme situations, the most severe acute respiratory syndrome. COVID-19 widely investigated by researchers through mathematical models from different aspects. Inspired literature, present paper, generalized deterministic model considered and examined. The basic reproduction number obtained...

a nonstandard finite difference (nsfd) scheme has been constructed and analyzed for a mathematical model that describes lotka–volterra food web model. this new discrete system has the same stability properties as the continuous model and,on the whole, it preservesthe same local asymptotic stability properties. linearized stability theory and schur–cohn criteria are used for local asymptoticstab...

Despite the availability of an abundant literature on singularly perturbed problems, interest toward non-linear problems has been limited. In particular, parameter-uniform methods for semilinear are quasi-non-existent. this article, we study a two-dimensional convection-diffusion problems. Our approach requires linearization continuous problem using quasilinearization technique. We then discret...

We propose a mathematical model for investigating the efficacy of Countermeasure Competing (CMC) strategy which is method reducing effect computer virus attacks. Using Centre Manifold Theory, we determine conditions under subcritical (backward) bifurcation occurs at Basic Reproduction Number $R_{0}=1$. In order to illustrate theoretical findings, construct new Nonstandard Finite Difference Sche...

This article presents the dynamical analysis of stochastic leprosy epidemic model. Positivity and boundedness are criteria used in deterministic A primary technique is known as Euler Maruyama solution said The standard computational methods will evaluate design stability efficiency based on chosen criteria. traditional like Runge Kutta fail to restore essential features biological problems. How...