Typically, a computer has infectivity as soon it is infected. It reality that no antivirus programming can identify and eliminate all kinds of viruses, suggesting infections would persevere on the Internet. To understand dynamics virus propagation in better way, spread model with fuzzy parameters presented this work. assumed infected computers do not have same contribution to transmission proce...

We extend the nonstandard finite difference method of solution to the study of pharmacokinetic-pharmacodynamic models. Pharmacokinetic (PK) models are commonly used to predict drug concentrations that drive controlled intravenous (I.V.) transfers (or infusion and oral transfers) while pharmacokinetic and pharmacodynamic (PD) interaction models are used to provide predictions of drug concentrati...

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 asymp...

A numerical scheme for a SIS epidemic model with a delay is constructed by applying a nonstandard finite difference (NSFD) method. The dynamics of the obtained discrete system is investigated. First we show that the discrete system has equilibria which are exactly the same as those of continuous model. By studying the distribution of the roots of the characteristics equations related to the lin...

Three numerical methods have been used to solve the one-dimensional advection-diffusion equation with constant coefficients. This partial differential equation is dissipative but not dispersive. We consider the Lax-Wendroff scheme which is explicit, the Crank-Nicolson scheme which is implicit, and a nonstandard finite difference scheme (Mickens 1991). We solve a 1D numerical experiment with spe...

In this article, the transmission dynamical model of deadly infectious disease named Ebola is investigated. This identified in Democratic Republic Congo (DRC) and Sudan (now South Sudan) was 1976. The novelty under discussion inclusion advection diffusion each compartmental equation. addition these two terms makes more general. Similar to a simple population dynamic system, prescribed also has ...

In this study, we implement a Nonstandard Finite Difference (NSFD) scheme for predator-prey model involving cannibalism and refuge in predator. The which is considered as discrete dynamical system analyzed. performed analysis includes the determination of equilibrium point its local stability. has four points, namely origin, prey extinction point, predator coexistence have exactly same form exi...

The hepatitis B infection is a global epidemic disease which huge risk to the public health. In this paper, transmission dynamics of deterministic model are presented and studied. basic reproduction number attained by applying it, local as well stability disease-free endemic equilibria continuous discussed. To better understand disease, discrete nonstandard finite difference (NSFD) scheme produ...

The honey bees play a role of unquestioned relevance in nature and the comprehension of the mechanisms affecting their population dynamic is of fundamental importance. As experimentally documented, the proper development of a colony is related to the nest temperature, whose value is maintained around the optimal value if the colony population is sufficiently large. Then, the environmental tempe...