Abstract:
Monkey-pox is known as pathogens affecting livestock animals and humans and belongs to the
orthopox virus. The pathogen causes lymph nodes to swell and increasing transmission risk
associated with factors involving introduction of virus to the oral mucosa. In this paper, we
developed an Age-Structured model for Monkey-pox disease in a population with vital
dynamics, incorporating standard incidence rate and vaccination. We showed the existence and
uniqueness of the solution of the model. We obtained the Disease-Free Equilibrium state and
shown the effective reproduction number of the model. We proved the conditions for Local
and Global Stability of the Disease-Free Equilibrium (DFE) State and we found that the
disease free equilibrium state is locally asymptotically stable if G(0) 1 (RE < 1) and
Globally Asymptotically Stable (GAS) in Ω if RE ≤ 1 while unstable if RE ≥ 1.
