n this paper, we propose an eco-epidemiological predator–prey model, modeling the spread of infectious keratoconjunc-tivitis among domestic and wild ungulates, during the summer season, when they intermigle in high mountain pastures.The disease can be treated in the domestic animals, but for the wild herbivores, it leads to blindness, with consequentdeath. The model shows that the disease can lead infected herbivores or their predators to extinction, even if it does notaffect the latter. Boundedness of solutions and equilibria feasibility are obtained. Stability around the different equilib-rium points is analyzed through eigenvalues and the Routh–Hurwitz criterion. Simulations are carried out to support thetheoretical results. Sensitivity with respect of some parameters is investigated. The prey vaccination as control measureis introduced and simulated, although at present, the vaccine is not yet available, but just being developed. It would thenpossibly eradicate the infection in the domestic animals, which are considered a disease reservoir.

An eco-epidemic model for infectious keratoconjunctivitis caused by Mycoplasma conjunctivae in domestic and wild herbivores, with possible vaccination strategies

ABBONA, FRANCESCA;Venturino, Ezio
2018-01-01

Abstract

n this paper, we propose an eco-epidemiological predator–prey model, modeling the spread of infectious keratoconjunc-tivitis among domestic and wild ungulates, during the summer season, when they intermigle in high mountain pastures.The disease can be treated in the domestic animals, but for the wild herbivores, it leads to blindness, with consequentdeath. The model shows that the disease can lead infected herbivores or their predators to extinction, even if it does notaffect the latter. Boundedness of solutions and equilibria feasibility are obtained. Stability around the different equilib-rium points is analyzed through eigenvalues and the Routh–Hurwitz criterion. Simulations are carried out to support thetheoretical results. Sensitivity with respect of some parameters is investigated. The prey vaccination as control measureis introduced and simulated, although at present, the vaccine is not yet available, but just being developed. It would thenpossibly eradicate the infection in the domestic animals, which are considered a disease reservoir.
2018
41
6
2269
2280
http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476
epidemics; population models; predator–prey model; vaccination; Mathematics (all); Engineering (all)
Abbona, Francesca; Venturino, Ezio*
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1692920
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact