Unformatted text preview: analysis. (7) Two-species models. Two species logistic Lotka-Volterra model. Global stability via Lyapunov ²unction. (8) Predator-prey models with periodic solutions. Modeling predator ²unctional re-sponse. (9) Epidemic modeling. (10) Two species Lotka-Volterra competition models. (11) Mutualism (12) Cellular dynamics o² HIV (possible presentation topic). (13) Metapopulation and patch models (possible presentation topic). (14) Chemostat modeling (possible presentation topic). (15) Excitable systems (possible presentation topic). (16) Partial di±erential models. Continuous age-structured model. (17) Partial di±erential models with di±usion. Prerequisites: Di±erential equations and linear algebra. Grading: Grades will be based on (1) Attendance; (2) Two exams (3) Homeworks (4) Term paper and presentation (²or graduate students only). 1...
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- Spring '08
- Mathematical Models in Population Biology and Epidemiology, possible presentation topic, Differential equations Mathematical Biology