A Mathematical Model on Chikungunya Disease with Standard Incidence and Disease Induced Death Rate

Meena Mandwariya, Pradeep Porwal, Sandeep Tiwari


In this paper, we extend the work of Naowarat, Thongjaem and Tang by introducing the fact that the model follows the disease related deaths. The model equation were solved and obtained equilibrium points of the system and analyzed for stability. It is shown that the stability of the equilibrium points can be controlled by the basic reproduction number of the disease.

Full Text:



Anderson, R.M. and R.M. May, Infectious Diseases of Humans: Dynamics and Control. 1st Edn., Oxford University Press, Oxford, ISBN: 019854040X, 1992, pp: 768.

Bacaer N, Approximation of the basic reproduction number R0 for vector-borne diseases with aperiodic vector population. Bull Math Biol 69, 2007, 1067–1091.

Chhabra M, Mittal V, Bhattacharya D, Rana U, Lal S, Chikungunya fever: a re–emerging viral infection. Indian J Med Microbiol 26: 2008, 5–12.

Dubrulle M, Mousson L, Moutailler S, Vazeille M, Failloux A-B, Chikungunya virus and Aedes mosquitoes: Saliva is infectious as soon as two days after oral infection. PLoS One 4(6), 2009.

Dumont Y, Chiroleu F, Domerg C, On a temporal model for the Chikungunya disease: modeling, theory and numerics. Math Biosci 213: 2008, 80–91.

Martin E, Moutailler S, Madec Y, Failloux AB, Differential responses of the mosquito Aedes albopictus from the Indian Ocean region to two chikungunya isolates. BMC Ecol 10:8, 2010.

Moulay, D., M.A. Aziz-Alaoui and M. Cadivel, The Chikungunya disease: Modeling, vector and transmission global dynamics. Math. Biosci., 229: 2011, 50-63. PMID: 21070789

Naowarat, S, Thongjaem, P and Tang M., Effect of Mosquito Repellent on the Transmission Model of Chikungunya Fever, American Journal of Applied Sciences 9 (4): 2012, 563-569.

Queyriaux B, Simon F, Grandadam M, Michel R, Tolou H, et al., Clinical burden of chikungunya virus infection. Lancet Infectious Diseases 8: 2008, 2–3

Porwal P and Badshah V. H., Dynamical Study of an Sirs Epidemic Model with Vaccinated Susceptibility, Canadian Journal of Basic and Applied Sciences 2 (04), 2014, 90-96

Robillard PY, Boumahni B, Gerardin P, Michault A, Fourmaintraux A, et al., Vertical maternal fetal transmission of the chikungunya virus. Ten cases among 84 pregnant women. Presse Medicale 35: 2006, 785–788.

Sergon K, Njuguna C, Kalani R, Ofula V, Onyango C, et al., Seroprevalence of Chikungunya Virus (CHIKV) Infection on Lamu Island, Kenya, October 2004. The American Journal of Tropical Medicine and Hygiene 78: 2008, 333–337

Staples JE, Breiman RF, Powers AM, Chikungunya Fever: An Epidemiological Review of a Re-Emerging Infectious Disease. Clinical Infectious Diseases 49: 2009, 942–948.

Vazeille M, Moutailler S, Coudrier D, Rousseaux C, Khun H, et al., Two Chikungunya Isolates from the Outbreak of La Reunion (Indian Ocean) Exhibit Different Patterns of Infection in the Mosquito, Aedes albopictus. PLoS ONE, 2007.

Vazeille M, Jeannin C, Martin E, Schaffner F, Failloux AB, Chikungunya: a risk for Mediterranean countries? Acta Trop 105: 2008, 200–202.

Woodruff AW, Bowen ET, Platt GS, Viral infections in travellers from tropical Africa. Br Med J 1: 1978, 956–958.


  • There are currently no refbacks.

MAYFEB Journal of Mathematics 
Toronto, Ontario, Canada
ISSN 2371-6193