Effects of density dependent migration on the spread of infectious diseases: A Mathematical Model

• Sharma, S.K. ^[1] ; Shukla, J.B. ^[2] ; Singh, Jitendra ^[3] ; Singh, Shikha ^[3]
  1. [1] Majmaah University

     Majmaah University

     Arabia Saudí

     
  2. [2] Innovative internet University for research (A think tank), Kanpur
  3. [3] Department of Mathematics PPN College, CSJM University, Kanpur

  Mostrar afiliaciones +
• Localización: Revista de la Universidad del Zulia, ISSN-e 2665-0428, ISSN 0041-8811, Vol. 10, Nº. 27, 2019 (Ejemplar dedicado a: Revista de la Universidad del Zulia, Número 27, Mayo-Agosto 2019. Ciencias Exactas, Naturales y de la Salud), págs. 184-201
• Idioma: español
• Enlaces
  • Texto completo (pdf)
• Resumen

  • In this paper, an SIS Mathematical model is proposed and analyzed by considering population density dependent migration. It is assumed that the disease is transmitted by direct contact of susceptibles and infectives with immigration and emigration dependent contact rate. The equilibrium analysis of the model is conducted by using the stability theory of ordinary differential equation and simulation. The model analysis shows that the spread of infectious disease increases as therate of immigration increasesbut its spread decreases as emigration rate increases and also if non-emigrating population density increases then infective population increases. The simulation study also confirms these analytical results.