Global dynamics for mathematical model of Echinococcus multilocularis in rodents and red foxes

Abstract

A deterministic model for transmission of Echinococcus multilocularis (EM), a parasitic disease responsible for human alveolar echinococcosis, is formulated and analyzed rigorously. The model consists of two hosts, with three compartments each, and concentration of the parasites from environment as sources of infection. The model takes into account a predator-prey relationship between the major hosts and obtained a threshold value for their existence. Systematic derivation of basic reproduction number, R0, is provided. Thorough qualitative analysis of the model reveals that it has a local and global asymptotic stable disease-free equilibrium when R0