In this paper, we propose a nonlinear fractional order model in order to explain and
understand the outbreaks of influenza A (H1N1). In the fractional model, the next state …

In this paper we construct nonstandard finite difference (NSFD) schemes to obtain numerical
solutions of the susceptible–infected (SI) and susceptible–infected–recovered (SIR) …

It is crucial to understand the effects of deadly viruses on humans in advance. One such
virus is the infectious hantavirus. Since the effects of viruses vary under different conditions …

In this paper, optimal control theory is applied to a system of ordinary differential equations
representing a hantavirus infection in rodent and alien populations. The effect of the optimal …

This paper considers a Hantavirus infection model consisting of a system of fractional-order
ordinary differential equations with logistic growth. The fractional-order model describes the …

In this paper, we present a mathematical model for the transmission of hantavirus among
rodents and its effect on the number of hantavirus‐infected human population. We …

Mathematical models and computer simulations are useful experimental tools for building
and testing theories. Many mathematical models in biology can be formulated by a nonlinear …

In this paper, a fractional-order Hantavirus infection model incorporating harvesting is
formulated and investigated. The populations are divided into susceptible mice, infected …

In this paper, a stochastic Hantavirus infection model is constructed. The existence,
uniqueness, and boundedness of the positive solution of the stochastic Hantavirus infection …

In this paper, the fractional–order form of a mouse population model is introduced. Some
explicit and implicit schemes, which are Theta methods and nonstandard finite difference …