A Mathematical Model for Measles Transmission Dynamics in Luweero District of Uganda

  • Type: Project
  • Department: Arts Education
  • Project ID: ARE0426
  • Access Fee: ₦5,000 ($14)
  • Pages: 71 Pages
  • Format: Microsoft Word
  • Views: 205
  • Report This work

For more Info, call us on
+234 8130 686 500
or
+234 8093 423 853

Abstract In this research work, Mathematical Model for Measles Transmission Dynamics in Luweero District of Uganda, SVEIR model was developed and analyzed. The model consists of five non liner ordinary differential equations. The effective reproductive number, (the number of secondary infections when a single effective individual is introduced into a population where a proportion is protected) was obtained. Further the disease free and endemic equilibrium where obtained and analyzed for stability. Numerical simulation of the various state variables where obtained using mat lab software. And it shows that the vaccination is capable of reducing the number of susceptible when the coverage is high.

A Mathematical Model for Measles Transmission Dynamics in Luweero District of Uganda
For more Info, call us on
+234 8130 686 500
or
+234 8093 423 853

Share This
  • Type: Project
  • Department: Arts Education
  • Project ID: ARE0426
  • Access Fee: ₦5,000 ($14)
  • Pages: 71 Pages
  • Format: Microsoft Word
  • Views: 205

500
Leave a comment...

    Related Works

    ABSTRACT In this study, we have formulated a mathematical model based on a system of ordinary differential equations to study the dynamics of typhoid fever disease incorporating protection against infection. The existences of the steady states of the model are determined and the basic reproduction number is computed using the next generation... Continue Reading
    ABSTRACT This project proposes a non – linear mathematical model to study the effect of irresponsible infected  immigrants on the spread of HIV/AIDS in a heterogeneous population with a constant recruitment of susceptible. The equilibrium points, stability analysis  and numerical simulation on the model are presented. It is realised that at... Continue Reading
    ABSTRACT This study proposes and analyzes a non-linear mathematical model for the dynamics of HIV/AIDS with treatment and vertical transmission. The equilibrium points of the model system are found and their stability is investigated. The model exhibits two equilibria namely, the disease-free and the endemic equilibrium. It is found that if the... Continue Reading
    ABSTRACT This study proposes and analyzes a non-linear mathematical model for the dynamics of HIV/AIDS with treatment and vertical transmission. The equilibrium points of the model system are found and their stability is investigated. The model exhibits two equilibria namely, the disease-free and the endemic equilibrium. It is found that if the... Continue Reading
    ABSTRACT This project proposes a non – linear mathematical model to study the effect of irresponsible infected  immigrants on the spread of HIV/AIDS in a heterogeneous population with a constant recruitment of susceptible. The equilibrium points, stability analysis  and numerical simulation on the model are presented. It is realised that at... Continue Reading
    ABSTRACT: Infectious  disease  has  become  a  source  of  fear  and  superstition  since  the first  ages  of  human  civilization.  In  this  study,  we  consider  the  Discrete  SIR  model for  disease  transmission  to  explain  the  use  of  this  model  and  also  show  significant explanation  as ... Continue Reading
    ABSTRACT: Infectious  disease  has  become  a  source  of  fear  and  superstition  since  the first  ages  of  human  civilization.  In  this  study,  we  consider  the  Discrete  SIR  model for  disease  transmission  to  explain  the  use  of  this  model  and  also  show  significant explanation  as ... Continue Reading
    ABSTRACT Simple population growth models involving birth rate, death rate, migration, and carrying capacity of the environment were considered. Furthermore, the particular case where there is discrete delay according to the sex involved in the population growth were treated. The equilibrium and stability analysis of each of the cases were... Continue Reading
    ABSTRACT In this research work, a deterministic mathematical mode for malaria transmission was developed and analysed. The model consists of seven ordinary differential equations with two sub-populations. The human subpopulation consists of the susceptible, exposed, infected human compartments while the mosquito sub-population consists of the... Continue Reading
    ABSTRACT Tuberculosis, an air-borne infectious disease, remains a major threat to public health in Kenya. In this study we derived a system of non-linear ordinary differential equations from SLICR mathematical model of TB to study the effects of hygiene consciousness as a control strategy against TB in Kenya. The effective basic reproduction... Continue Reading
    Call Us Get this work