Treatment of HIV/AIDS epidemic model with vertical transmission by using evolutionary Pade-approximation
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Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Human Immunodeficiency Virus (HIV) infection has become a significant infectious disease for both developed and developing countries that can contribute to the acquired immunodeficiency syndrome (AIDS). In this study a nonlinear mathematical model for the transmission of HIV/AIDS has been proposed and discussed in a populace of changing size with transfer of infection. The theorems and propositions have been constructed for well-posed-ness and bounded-ness of the model respectively. Evolutionary Pade-approximation (EPA) technique has been used for the treatment of this nonlinear mathematical model. Initial conditions are converted into constraints and constraints' problem is transformed into unconstrained by using penalty function. In the suggested EPA method, no step lengths have to be chosen, also converges to a steady state point is proved. The model for the transmission of HIV/AIDS also solved by using non-standard finite difference (NSFD) scheme and results were compared, simulations justify our outcomes more efficient and compact. Finally, a convergence and error analysis evidence that the convergence speed of EPA is superior that of the NSFD. (C) 2020 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
HIV/AIDS transmission model, Pade-approximation, Differential evolution, Non-standard finite difference, Stability analysis, sensitivity analysis
Kaynak
Chaos Solitons & Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
134
