fractional diffusion 1numerical simulation 1optimal control 1SIR model 1spatio-temporal epidemiology 1vaccination strategies 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
The regional control of a fractional spatio-temporal SIR model
Sofwah Ahmad
The paper studies a regional optimal control problem for a fractional diffusion SIR model, proving existence of solutions and optimal vaccination/treatment strategies, and demonstr…
math.AP2025
Tools for stability analysis of fractional reaction diffusion systems
Sofwah Ahmad, Szymon Cygan, Grzegorz Karch
The linearization principle states that the stability (or instability) of solutions to a suitable linearization of a nonlinear problem implies the stability (or instability) of sol…
math.AP2025
Asymptotic behavior of solutions of a time-space fractional diffusive Volterra equation
Sofwah Ahmad, Mokhtar Kirane
In this paper, we study the time-space fractional differential equation of the Volterra type: \begin{align*} {D}^α_{0 \vert t} (u) +(-Î_N)^Ïu &= u(1+au-bu^2)-au\int_0^t {K}(t-s)…