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- Title
A 2-DIMENSIONAL MODEL FOR MACROPARASITIC INFECTIONS IN A HOST WITH LOGISTIC GROWTH.
- Authors
PUGLIESE, ANDREA; ROSÀ, ROBERTO
- Abstract
We analysed a model for the interaction of a macroparasite and a host population growing logistically. The model is obtained by approximating the parasite distribution with a negative binomial with a fixed clumping parameter. By letting the contact rate k vary, we found a complex pattern of bifurcations, including subcritical bifurcations of the disease-free equilibrium, Hopf and homoclinic bifurcations. The specific pattern depends on the interaction of the various parameters; in particular, alternative stable equilibria may occur only when the carrying capacity KN is sufficiently large, while periodic solutions may occur for all values of KN, if k is large enough.
- Publication
Journal of Biological Systems, 1995, Vol 3, Issue 3, p833
- ISSN
0218-3390
- Publication type
Article
- DOI
10.1142/S0218339095000769