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• W3048400029 abstract "A seven-dimensional Caputo-type fractional-order model describing the dynamics for the spread of malaria virus transmitted to humans (host) by the bite of mosquito (vector), affecting the latter itself, has been proposed. Using the fact that both underlying populations may not behave exactly the same; the first group of population (human) is assigned the fractional-order ε whereas the fractional-order κ is for the second group (mosquito). The model is shown to have globally asymptotically stable steady-state solution with R 0 < 1 (disease cannot spread) and an unstable endemic equilibrium point for R 0 > 1 (disease can spread), where R 0 is the basic reproductive number computed through next generation matrix technique. Using fixed point theory, the existence and uniqueness for the solution of the model have extensively been discussed with boundedness. Furthermore, it is also proved that the non-negative hyperoctant R + 7 is a positively invariant region for the model. Through numerical simulation, it is shown that the model under Caputo differentiation is far more accurate than its classical version to describe the complexity of the dynamics of the disease's transmission among both underlying groups of the population." @default.
• W3048400029 created "2020-08-18" @default.
• W3048400029 creator A5049378108 @default.
• W3048400029 creator A5082823020 @default.
• W3048400029 date "2020-08-10" @default.
• W3048400029 modified "2023-10-16" @default.
• W3048400029 title "Mathematical Modeling of an Autonomous Nonlinear Dynamical System for Malaria Transmission Using Caputo Derivative" @default.
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• W3048400029 doi "https://doi.org/10.1002/9781119654223.ch9" @default.
• W3048400029 hasPublicationYear "2020" @default.
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