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In this work, a deterministic mathematical model for the Influence of human age structure on forest biomass availability, incorporating public enlightenment campaign parameter was developed and analyzed. The model consists of three autonomous differential equations for the forest biomass, Junior and Adult populations. The Zero, Junior and Adult free as well as the interior equilibrium states of the model were obtained and analyzed for stability. Numerical simulation of the various model parameters were obtained using mat lab software. The simulation gave the public enlightenment coverage level that would guarantee high forest biomass density and thus optimum yield.Keywords: Forest, biomass, Density, Stability, Equilibrium

In this paper, a deterministic mathematical model for Chikungunya virus (Chikv) transmission and control is developed and analyzed to underscore the effect of vaccinating a proportion of the susceptible human, and vertical transmission in mosquito population. The disease free, and endemic equilibrium states were obtained and the conditions for the local and global stability or otherwise were given. Sensitivity analysis of the effective reproductive number, c R (the number of secondary infections resulting from the introduction of a single infected individual into a population where a proportion is fairly protected) shows that the recruitment rate of susceptible mosquito (M Λ) and the proportion of infectious new births from infected mosquito (β) are the most sensitive parameters. Bifurcation analysis of the model using center manifold theory reveals that the model undergoes backward bifurcation (coexistence of disease free and endemic equilibrium when 1 C R <). Numerical simulation of the model shows that vaccination of susceptible human population with imperfect vaccine will have a positive impact and that vertical transmission in mosquito population has a negligible effect. To the best of our knowledge, our model is the first to incorporate vaccinated human compartment and vertical transmission in (Chikv) model.