Journal
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
Volume 42, Issue 1-2, Pages 245-257Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s12190-012-0617-1
Keywords
Treatment function; Asymptotical stability; Routh-Hurwitz criterion
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Funding
- Natural Science Foundation of China [11261004]
- Natural Science Foundation of Jiangxi [20114BAB201013]
- Technology Plan Projects of Jiangxi Provincial Education Department [GJJ11583]
- Natural Science Foundation of Gannan Normal University [11kyz01]
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Treatment is of great importance in fighting against infectious diseases. In this paper, we investigate a disease transmission model of SEIR type with quadratic treatment function. We consider r as the parameter which describes the societal effort to fight the infection. It is found that the system has four possible equilibria when r changes. Moreover, the existence and stability of equilibria of the model are discussed. Finally, the complex dynamics of the system are displayed by numerical simulations such as bi-stability, backward bifurcations.
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