AN ANALYTICAL APPROACH FOR A DETERMINISTIC EPIDEMIOLOGICAL MODEL - MONKEYPOX CLINICAL DISEASE
Keywords:
In this study, we investigate a non-linear differential equation modeling the transmission dynamics of monkeypox. We begin with a thorough stability analysis to assess the equilibrium points of the model, providing insights into the conditions under which the disease may persist or diminish within a population. Following this, we employ the {$q\;-$} Homotopy analysis transform method ($q\;-$ HATM) to derive analytical solutions, showing its effectiveness in handling the complexities inherent in non-linear systems. Our findings reveal that while both methods yields valuable insights into the behavior of the monkeypox transmission model, $q\;-$ HATM offers greater flexibility in terms of initial conditions and non-linearity. This work contributes to the understanding of monkeypox for future research in disease modeling using advanced mathematical techniques.Abstract
In this study, we investigate a non-linear differential equation modeling the transmission dynamics of monkeypox. We begin with a thorough stability analysis to assess the equilibrium points of the model, providing insights into the conditions under which the disease may persist or diminish within a population. Following this, we employ the {$q\;-$} Homotopy analysis transform method ($q\;-$ HATM) to derive analytical solutions, showing its effectiveness in handling the complexities inherent in non-linear systems. Our findings reveal that while both methods yields valuable insights into the behavior of the monkeypox transmission model, $q\;-$ HATM offers greater flexibility in terms of initial conditions and non-linearity. This work contributes to the understanding of monkeypox for future research in disease modeling using advanced mathematical techniques.
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