An Analytical Approach for a Deterministic Epidemiological Model – Monkeypox Clinical Disease
DOI:
https://doi.org/10.26713/cma.v16i2.3052Keywords:
Stability analysis, Monkeypox, Epidemic model, Nonlinear differential equations, Mathematical models, q-Homotopy analysis transform methodAbstract
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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