Two-Strain Ecoepidemic Systems: The Obligated Mutualism Case

Authors

Chiara Bosica, Department of Mathematics “G. Peano”, University of Torino, via Carlo Alberto 10, I-10123 Torino, ItalyFollow
Alessandra De Rossi, Department of Mathematics “G. Peano”, University of Torino, via Carlo Alberto 10, I-10123 Torino, ItalyFollow
Noemi Lucia Fatibene, Department of Mathematics “G. Peano”, University of Torino, via Carlo Alberto 10, I-10123 Torino, ItalyFollow
Matteo Sciarra, Department of Mathematics “G. Peano”, University of Torino, via Carlo Alberto 10, I-10123 Torino, ItalyFollow
Ezio Venturino, Department of Mathematics “G. Peano”, University of Torino, via Carlo Alberto 10, I-10123 Torino, ItalyFollow

Author Country (or Countries)

Italy

Abstract

We present a model for obligated mutualistic associations, in which two transmissible diseases are allowed to infect just one population. As the general model proves too hard to be fully analytically investigated, some special cases are analysed. Among our findings, the coexistence of the two strains does not appear possible, under the model assumptions. Furthermore, in particularly unfavorable circumstances the ecosystem may disappear. In this respect, an accurate computation of the basin of attraction of the origin is provided using novel techniques. For this obligated mutualistic system the presence of the diseases appears to be less relevant than in many other circumstances in ecoepidemiology, including also the case of facultative symbiotic associations.

Recommended Citation

Bosica, Chiara; De Rossi, Alessandra; Lucia Fatibene, Noemi; Sciarra, Matteo; and Venturino, Ezio (2015) "Two-Strain Ecoepidemic Systems: The Obligated Mutualism Case," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 3.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/3