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Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus |
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| Authors: | C. Castillo-Chavez K. Cooke W. Huang S. A. Levin |
| Affiliation: | 1 Biometrics Unit, 341 Warren Hall, Cornell University, Ithaca, NY 14853, U.S.A. 2 Center for Applied Mathematics, Cornell University, Ithaca, NY 14853, U.S.A. 3 Department of Mathematics, Pomona College, Claremont, CA 91711, U.S.A. 4 Claremont Graduate School, Claremont, CA 91711, U.S.A. 5 Section of Ecology and Systematics, Corson Hall, Cornell University, Ithaca, NY 14853, U.S.A. 6 Center for Environmental Research, Cornell University, Ithaca, NY 14853, U.S.A. |
| Abstract: | In this note, we report on the formulation and mathematical analysis of single and multiple group models for the spread of the human immuno-deficiency virus (HIV), which is the etiological agent for the acquired immunodeficiency syndrome (AIDS). Results on the robustness of a single group model are stated for specific and arbitrary survivorship functions. In addition, we provide results that show that multiple group models can have multiple endemic equilibria. |
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