A predator—prey model with disease in the prey
Nonlinear Analysis: Theory, Methods & Applications
The Mathematics of Infectious Diseases
SIAM Review
Partial Stability and Geometric Problems of Nonlinear Dynamics
Automation and Remote Control
The evaluation of liver function via grey relational analysis
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
Computers & Mathematics with Applications
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In this paper the attractivity properties of disease free subsets are considered in the context of disease transmission models. Sufficient conditions are derived for the existence of stable disease free subsets in a general compartmental disease transmission model. The conditions are stated in terms of the system linearized along the trajectories limited to a subset of disease free states. The proof is in the framework of the classical direct method of Lyapunov. As illustrations of the result a multigroup SIRS vaccination model and a Lotka-Volterra system with prey epidemic interaction are presented.