Mathematical analysis of multi-compartmental malaria transmission model with reinfection

Attiq ul Rehman, Ram Singh and Jagdev Singh

Chaos, Solitons & Fractals, 2022, vol. 163, issue C

Abstract: In this investigation, a mathematical compartmental model of the malaria disease transmission dynamical process with an associated learning mechanism between vector-to-host and vice-versa with memory, relapse, and reinfection conditions is proposed and analysed. Stability analysis of the disease-free equilibrium (DFE) concerning the fractional-order derivative α and the reproductive number R0 is evaluated. We find the α that depends on R0, for which we have two cases: i if R0<1, then DFE is always locally asymptotically stable (LAS), ii if R0>1, then DFE is always unstable. The model is solved numerically by using the Corrector-Predictor numerical method. The numerical simulation is performed to verify the analytic results.

Keywords: Malaria transmission; Memory; Relapse; Reinfection (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:163:y:2022:i:c:s0960077922007263

DOI: 10.1016/j.chaos.2022.112527

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