Meet OLUTIMO AKINWALE LEWIS, an Academic Staff of Lagos State University.
Qualitative Properties Of Solutions Of Ordinary Differential Equations, Dynamical System Analysis, Mathematical Ecology And Epidemiology
Associate Professor / Reader
Mathematics
At the Mathematics department office
Appointment on Visitation important
Topic: Dynamics Of A Lotka-Volterra Prey-Predator Model Using Intrinsic Lyapunov Method
Description: The study investigates a Lotka-Volterra prey-predator model incorporating prey refuge and predator cannibalism. A new method, called the intrinsic method, is proposed in this study to derive suitable Lyapunov functions for a certain class of non-linear system expressed in state variables and parameters defining the dynamic characteristics of the prey and predators species as two first-order nonlinear differential equations which possess a functional relationship to the differential equations under study. Suitable hide out for prey and moderate cannibalism among predators can lead to the coexistence of both species in a stable state. Otherwise, one of the two could be driven to a permanent extermination. Simulation results are given to support our findings on the dynamic behaviours of the system.
| # | Certificate | School | Year |
|---|---|---|---|
| 1. | Ph.D (Mathematics) | Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State. Nigeria. | 2015 |
Transmission and Control Dynamics of Rotavirus Diarrhea Model with Double Dose Vaccination
In this study, six 6 compartmental mathematical models S, V_1,V_2,E,I,R is developed to see the effect of double dose vaccine in the dynamical spread of diarrhea in the community. The mathematical analysis shows that the disease free and endemic equilibrium equilibrium point of the model exist. Also, the basic reproduction number R_o was determined using Next generation Matrix. The model has disease free equilibrium point which is locally asymptotically stable when the basic reproduction number R_o & 1. The basic reproduction number is a significant number that represents how much transferable a disease is, that is, it is the average number of new infected individuals that can be infected by one infectious person during the time of time. It helps to determine whether the disease persist and become more endemic or dies out in the society. Numerical simulation was carried out by maple software to show the effect of the second dose vaccine. Effect of the double dose vaccine shows great impact in the total eradication of diarrhea epidemic, as this should be taken serious by medical practioners or policy health makers.
OLUTIMO AKINWALE is a Associate Professor / Reader at the Department of Mathematics
OLUTIMO has a Ph.D in Mathematics from Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State. Nigeria.
