Mathematical Analysis of an Epidemic System in the Presence of Optimal Control and Population Dispersal

In this paper, we proposed and analyzed a susceptible-infected-recovered (SIR) type epidemic model to investigate the effect of transport-related infectious diseases namely tuberculosis, measles, r...

[1]  W. O. Kermack,et al.  A contribution to the mathematical theory of epidemics , 1927 .

[2]  J. Watmough,et al.  Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. , 2002, Mathematical biosciences.

[3]  Hem Raj Joshi,et al.  Optimal control of an HIV immunology model , 2002 .

[4]  Seyed M. Moghadas,et al.  A qualitative study of a vaccination model with non-linear incidence , 2003, Appl. Math. Comput..

[5]  Y. Takeuchi,et al.  Spreading disease with transport-related infection. , 2006, Journal of theoretical biology.

[6]  Oluwole Daniel Makinde,et al.  Adomian decomposition approach to a SIR epidemic model with constant vaccination strategy , 2007, Appl. Math. Comput..

[7]  Deborah Lacitignola,et al.  Global stability of an SIR epidemic model with information dependent vaccination. , 2008, Mathematical biosciences.

[8]  Maia Martcheva,et al.  SEROTYPE REPLACEMENT OF VERTICALLY TRANSMITTED DISEASES THROUGH PERFECT VACCINATION , 2008 .

[9]  Zhipeng Qiu,et al.  Transmission Dynamics of an Influenza Model with Vaccination and Antiviral Treatment , 2010, Bulletin of mathematical biology.

[10]  Kazeem O. Okosun,et al.  Optimal control analysis of a malaria disease transmission model that includes treatment and vaccination with waning immunity , 2011, Biosyst..

[11]  Deborah Lacitignola,et al.  On the backward bifurcation of a vaccination model with nonlinear incidence , 2011 .

[12]  Shigui Ruan,et al.  Analysis of SIR epidemic models with nonlinear incidence rate and treatment. , 2012, Mathematical biosciences.

[13]  F. B. Agusto,et al.  Optimal isolation control strategies and cost-effectiveness analysis of a two-strain avian influenza model , 2013, Biosyst..

[14]  Kazeem O. Okosun,et al.  Optimal control strategies and cost-effectiveness analysis of a malaria model , 2013, Biosyst..

[15]  Settapat Chinviriyasit,et al.  On the dynamics of SEIRS epidemic model with transport-related infection , 2013, Mathematical Biosciences.

[16]  Soovoojeet Jana,et al.  Optimal control and stability analysis of an epidemic model with population dispersal , 2016 .

[17]  Soovoojeet Jana,et al.  Dynamical Behavior of a Malaria Model with Discrete Delay and Optimal Insecticide Control , 2017 .