People's ability to easily travel across cities is thought to play a major role in the spread of
infectious diseases. This research develops and analyzes a new Susceptible-Infected …

Effective disease control measures are necessary because epidemics have a serious threat
to public health. To address this, we propose a novel SVIR epidemic model that highlights …

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 of solving …

For decades, understanding the dynamics of infectious diseases and halting their spread
has been a major focus of mathematical modelling and epidemiology. The stochastic SIRS …

In this paper, an SVIR epidemic model with temporary immunities and general incidence
rates is constructed and analyzed. By utilizing Lyapunov functions, we prove the existence …

In recent years, researchers have investigated boundary value problems of single terms
and, in rare circumstances, multi-term fractional differential equations. Nonetheless …

In this paper, we study the averaging principle for ψ-Capuo fractional stochastic delay
differential equations (FSDDEs) with Poisson jumps. Based on fractional calculus …

The complex and ever-changing characteristics of epidemic modelling, particularly when
considering random elements, provide a substantial obstacle in creating precise and …

This article is devoted to prove the existence and uniqueness (EU) of solution of fractional Itô–
Doob stochastic differential equations (FIDSDE) with order ϰ∈(0, 1)\varkappa ∈\left (0 …

This article explores the existence and asymptotic stability in the p-th moment of mild
solutions to a class of Hilfer fractional neutral stochastic differential equations with infinite …