Impact of Vaccination, Insecticide-Impregnated Collar, and Treatment on the Canine Leishmaniasis

L. Esteva, C. P. Ferreira, C. Vargas


Leishmaniasis is a parasite disease transmitted by the bites of sandflies.  There have been found more than 70 animal species that are natural reservoir hosts of Leishmania. Among the reservoirs, dogs are the most important ones due to their proximity to the human habitat. In this work, we formulate a model to assess the impact of vaccination, insecticide-impregnated collar use, and treatment on the control of canine leishmaniasis. To this end, we calculated the Basic Reproduction Number of the disease and carried out a sensitivity analysis of this parameter concerning the epidemiological and demographic parameters. The numerical simulations show the correlation between the disease prevalence and the strategies' effectiveness.  Control of infection on dogs can be obtained by protecting around 35 percent of dogs with vaccination and insecticide-impregnated collar.


Basic Reproduction Number, endemic proportions, stability analysis

Full Text:



E.O. Agyingi, D.S. Ross, K. Bathena. A model of the transmission dynamics of leishmaniasis, J. Biol. Syst. 19 (2011) 237-250.

F. Dantas-Torres, The role of dogs as reservoirs of Leishmania parasites, with emphasis on Leishmania (Leishmania) infantum and Leishmania (Viannia) braziliensis, Veterinary Parasitology 149 (2007) 139–146.

C.R. Davies, R. Reighinger, D. Campbell-Lendrium, D. Feliciangeli, R. Borges, N. Rodriguez. The epidemiology and control of leishmaniasis in Andean countries, Cad. Sa'ude P'ublica, Rio de Janeiro, 16 (2000) 925-950.

C.R. Davies, E.A. Llanos-Cuentas, S.D. M. Pyke, C. Dye. Cutaneous leishmaniasis in the Peruvian Andes: an epidemiological study of infection and immunity, Epidemiol. Infect. 114 (1995) 297-318.

C. Dye, The logic of visceral leishmaniasis control, Am. J. Trop. Med. Hyg.55 (1996) 125-130.

L. Esteva, C. Vargas, C. Vargas de Le'on, The role of asymptomatics and dogs on leishmaniasis propagation, Math, Bioscie. 293 (2017) 46-55.

L. Gradoni, M. Maroli, M. Gramiccia, F. Mancianti (2008). Leishmania infantum infection rates in Phlebotomus perniciosus fed on naturally infected dogs under antimonial treatment,

Med Vet Entomol, 1987 Oct;1(4):339-42. doi: 10.1111/j.1365-2915.1987.tb00364.x.

B. Martins Macedo, M. da Silva Solcà, L. Celestino Sales Santos, L. Brito Coelho1, L. D. Alves Ferreira, L. E. Donato, S. M. de Souza Passos, A. Oliveira de Almeida, P. Sampaio Tavares, D. Bittencourt. The mass use of deltamethrin collars to control and prevent canine visceral leishmaniasis: A field effectiveness study in a highly endemic area, PLoS Negl Trop Dis (2018) 12(5): e0006496.

L. Massad, V. L. Zaher, H. J. Shimozako, E. Massad. Estimating the Optimal Control of Zoonotic Visceral

Leishmaniasis by the Use of a Mathematical Model, The Scientific World Journal (2013), ID 810380.

J.Moreno, Assessment of Vaccine-Induced Immunity Against Canine Visceral Leishmaniasis, Front. Vet. Sci. (2019), 04 June 2019,

A. B. Reis, R. C. Giunchetti, E. Carrillo, O. A. Martins-Filho, and J. Moreno. Immunity to Leishmania and the rational search for vaccines against canine leishmaniasis. Trends in Parasitology (2010) 26 8t):341–349.

bibitem[Rio-Ribeiro {it et al.}(2018)]{Rio} R. Rio-Ribeiro, M. S. Marques-Michalick, M. E. da Silva,

C. Ch. Peixoto dos Santos, F. J. G. Frézard, S. Magno da Silva.

Canine Leishmaniasis: An Overview of the Current Status and Strategies for Control. Biomed Res Int.(2018). 2018: 3296893. doi: 10.1155/2018/3296893

A.C. Rosypal, G. Troy, A.M. Zajac, G. Frank, D.S. Lindsay, Trasplacental transmission of a North American isolate of {it Leishmania infantum} in an experimentally infected beagle, Journal of Parasitology (2005) 91(4):970-972.

A.P Seva, F. Ferreira, M. Amaku, How much does it cost to prevent and control visceral leishmaniasis in Brazil? Comparing different measures in dogs. PLoS ONE 15(7):

e0236127. pone.0236127.


Article Metrics

Metrics Loading ...

Metrics powered by PLOS ALM


  • There are currently no refbacks.

Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)


Indexed in:




Desenvolvido por:

Logomarca da Lepidus Tecnologia