Open AccessEFFECTS OF SENSITISATION AND EARLY TREATMENT ON FUTURE OUTBREAK OF LASSA FEVER IN NIGERIA
Author(s) -
A. A. Ahiaba,
Mohammed Olanrewaju Ibrahim,
M. Ahiaba
Publication year - 2021
Publication title -
journal of mathematical sciences and computational mathematics
Language(s) - English
Resource type - Journals
eISSN - 2688-8300
pISSN - 2644-3368
DOI - 10.15864/jmscm.2206
Subject(s) - lassa fever , basic reproduction number , equilibrium point , reproduction , sensitivity (control systems) , population , mathematics , stability (learning theory) , outbreak , statistics , biology , demography , virology , ecology , computer science , mathematical analysis , electronic engineering , machine learning , sociology , engineering , differential equation
We exploit the dynamics of Lassa fever model with sex structure of the human population with the rat population. The objectives of the research were to: (i) solve for the equilibrium point of the disease free of the model; (ii) obtain basic reproduction number R 0 , for the model; (iii) investigate local and global stability of the model; and (iv) analyze the sensitivity of parameters of the model. It was found that the disease free equilibrium point was locally asymptotically stable whenever the basic reproduction number ( R 0 ) is less than one and unstable otherwise. The global stability of the model at disease free equilibrium was found. The analysis of the contribution of each parameter was performed using sensitivity analysis. All positive value parameters are in direct proportionality with the basic reproduction number R o and all negative value parameters are inversely proportional to the basic reproduction number. Thus, increase in the values of all parameters with positive sensitivity value would increase R o . Conversely, increase in the value of all parameters with negative sensitivity value would decrease R o