Not register? Register Now!
Essay Available:
You are here:
Pages:
1 page/≈550 words
Sources:
11 Sources
Level:
APA
Subject:
Mathematics & Economics
Type:
Research Paper
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
\$ 12.53
Topic:

# APPLICATION OF AN AGE-STRUCTURED DETERMINISTIC ENDEMIC MODEL FOR DISEASE CONTROL IN NIGERIA (Research Paper Sample)

Instructions:

This paper focuses on the development and analysis of the endemic model for disease control in an aged-structured population in Nigeria. Upon the model framework development, the model equations were transformed into proportions with the rate of change of the different compartments forming the model, thereby reducing the model equations from twelve to ten homogenous ordinary differential equations. The model exhibits two equilibria, the endemic state, and the disease-free equilibrium state while successfully achieving a Reproductive Number R_0=0.
The deterministic endemic susceptible-exposed-infected-removed-undetectable=untransmissible-susceptible (SERIUS) model is analyzed for the existence and stability of the disease-free equilibrium state. We established that a disease-free equilibrium state exists and is locally asymptotically stable when the basic reproduction number 0≤R_0<1. Furthermore, numerical simulations were carried to complement the analytical results in investigating the effect treatment rate and the net transmission rate on recovery for both juvenile and adult sub-population in an age-structured population.

source..
Content:

APPLICATION OF AN AGE-STRUCTURED DETERMINISTIC ENDEMIC MODEL FOR DISEASE CONTROL IN NIGERIA
ABSTRACT
This paper focuses on the development and analysis of the endemic model for disease control in an aged-structured population in Nigeria. Upon the model framework development, the model equations were transformed into proportions with rate of change of the different compartments forming the model, thereby reducing the model equations from twelve to ten homogenous ordinary differential equations. The model exhibits two equilibria, the endemic state and the disease-free equilibrium state while successfully achieving a Reproductive Number R0=0.
The deterministic endemic susceptible-exposed-infected-removed-undetectable=untransmissible-susceptible (SEIRUS) model is analyzed for the existence and stability of the disease-free equilibrium state. We established that a disease-free equilibrium state exists and is locally asymptotically stable when the basic reproduction number 0≤R0<1. Furthermore, numerical simulations were carried to complement the analytical results in investigating the effect treatment rate and the net transmission rate on recovery for both juvenile and adult sub-population in an age-structured population.
Keyword: Susceptible, Exposed, Latent, Infectious, Removed, Recovery, Undetectable.
1 INTRODUCTION
The estimation of the rate of prevalence of HIV/AIDS in Nigeria is very key for the administration of relevant interventions by relevant stakeholders in the health sector and the Nigerian Center for Disease Control (NCDC) hence in this paper we develop and evaluate the new deterministic endemic age-structured SEIRUS compartmental model of the HIV/AIDS dynamics in Nigeria and a two-age-structured population framework for a deterministic endemic model is constructed for the development of an endemic deterministic model with Undetectable=Untrasmitable viral load compartment.
In recent study by [1] and an earliest study by [2] among others have been very motivational for this study and were focused on the epidemiology of HIV/AIDS using various models like SIR, SEIR, SIRS, SICA models formulated for epidemic case of disease control. However, because these earliest models did not take into account the endemicity of the diseases, this study therefore focuses on the endemic nature, developing and evaluating a deterministic endemic model for the control of further spread and eventual eradication of the disease in Nigeria.
2 THE MODEL VARIABLES AND PARAMETERS

...
Get the Whole Paper!
Not exactly what you need?
Do you need a custom essay? Order right now:

### Other Topics:

• Susceptible-Exposed-Infectious- Recovered-Undetectable-Susceptible (SEIRUS) Model Prediction. . .
Description: This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited....
1 page/≈550 words| 12 Sources | APA | Mathematics & Economics | Research Paper |
• The Effect of Household Characteristics on Food Expenditure in the Philippines
Description: This study aims to provide information regarding the effect of household characteristics such as total number of household members, location of household (urban or rural area), total family income, age of household head and marital status of household head on total family...
29 pages/≈7975 words| 12 Sources | APA | Mathematics & Economics | Research Paper |
• American Country with the Greatest Growth Potential Research Paper
Description: Growth is determined by factors which influence the inflow of economic resources. Some countries are better in attracting economic resources which support growth. Others have better and innovative capabilities to utilize resources that produce economic goods. Although growth is influenced...
2 pages/≈550 words| 4 Sources | APA | Mathematics & Economics | Research Paper |
Need a Custom Essay Written?
First time 15% Discount!