Positivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmission
In this article, an integer order nonlinear HIV/AIDS infection model is extended to the non-
integer nonlinear model. The Grunwald Letnikov nonstandard finite difference scheme is …
integer nonlinear model. The Grunwald Letnikov nonstandard finite difference scheme is …
Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation
In this manuscript, we develop a mathematical model to describe the spreading of an
epidemic disease in a human population. The emphasis in this work will be on the study of …
epidemic disease in a human population. The emphasis in this work will be on the study of …
Analysis of a nonstandard computer method to simulate a nonlinear stochastic epidemiological model of coronavirus-like diseases
Background and objective: We propose a nonstandard computational model to approximate
the solutions of a stochastic system describing the propagation of an infectious disease. The …
the solutions of a stochastic system describing the propagation of an infectious disease. The …
[PDF][PDF] Differential equation models for infectious diseases: Mathematical modeling, qualitative analysis, numerical methods and applications
MT Hoang, M Ehrhardt - 2024 - imacm.uni-wuppertal.de
Mathematical epidemiology has a long history of origin and development. In particular,
mathematical modeling and analysis of infectious diseases has become a fundamental and …
mathematical modeling and analysis of infectious diseases has become a fundamental and …
Spatio-temporal numerical modeling of reaction-diffusion measles epidemic system
In this work, we investigate the numerical solution of the susceptible exposed infected and
recovered measles epidemic model. We also evaluate the numerical stability and the …
recovered measles epidemic model. We also evaluate the numerical stability and the …
Structure preserving numerical analysis of HIV and CD4+ T-cells reaction diffusion model in two space dimensions
In this paper, a new HIV CD4+ T cells reaction-diffusion model in two dimensions has been
introduced. Two novel and efficient positivity preserving finite difference schemes for the …
introduced. Two novel and efficient positivity preserving finite difference schemes for the …
Numerical modeling and theoretical analysis of a nonlinear advection-reaction epidemic system
Background and objective: Epidemic models are used to describe the dynamics of
population densities or population sizes under suitable physical conditions. In view that …
population densities or population sizes under suitable physical conditions. In view that …
New insights into a chaotic system with only a Lyapunov stable equilibrium
This paper gives some new insights into a chaotic system. The considered system has only
one Lyapunov stable equilibrium and positive Lyapunov exponent in some certain …
one Lyapunov stable equilibrium and positive Lyapunov exponent in some certain …
[HTML][HTML] Analysis and nonstandard numerical design of a discrete three-dimensional hepatitis B epidemic model
In this work, we numerically investigate a three-dimensional nonlinear reaction-diffusion
susceptible-infected-recovered hepatitis B epidemic model. To that end, the stability and …
susceptible-infected-recovered hepatitis B epidemic model. To that end, the stability and …
A dynamically consistent approximation for an epidemic model with fuzzy parameters
In this article, a susceptible, infectious, and recovered (SIR) model with fuzzy parameters is
discussed. These concepts are uncertain due to the different degrees of susceptibility …
discussed. These concepts are uncertain due to the different degrees of susceptibility …