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 main aim of this contribution is to construct a numerical scheme for solving stochastic time-dependent partial differential equations (PDEs). This has the advantage problems with positive solutions. provides conditions obtaining solutions, which existing Euler–Maruyama method cannot do. In addition, it more accurate than non-standard finite difference (NSFD) method. Theoretically, suggested...

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 paper, we consider an SIR-model for which the interaction term is the square root of the susceptible and infected individuals in the form of fractional order differential equations. First the non-negative solution of the model in fractional order is presented. Then the local stability analysis of the model in fractional order is discussed. Finally, the general solutions are presented an...

Mathematical modeling is a vast field that has interdisciplinary implications for research. These models help to investigate the basic dynamics and quantitative behavior of infectious diseases affect human beings, such as COVID-19, hepatitis B virus (HBV), immunodeficiency (HIV). The current study investigates spread HBV by using model. In order determine stability disease-free endemic equilibr...

Amoebiasis is a parasitic intestinal infection caused by the highly pathogenic amoeba Entamoeba histolytica. It spread through person-to-person contact or eating drinking food water contaminated with feces. Its transmission rate depends on number of cysts present in environment. The traditional models assumed homogeneous and contradictory reality. heterogeneity its significant factor when model...

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 ...

Infection with human immunodeficiency virus type 1 (HIV-1) or T-lymphotropic I (HTLV-I) both can lead to mortality. CD4+T cells are the target for HTLV-I and HIV-1. In addition, HIV-1 infect macrophages. macrophages play important roles in immune system response. This article develops analyzes a discrete-time co-infection model. The model depicts within-host interaction of six compartments: uni...

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...