Unformatted text preview: (6) Harvesting a single population (7) Two-species models. Two species logistic model. Lotka-Volterra predator-prey models - introduction to predator-prey models. (8) Local stability in ﬁrst order systems. Phase-plane analysis. (9) Periodic solutions. (10) Bi±urcations. (11) Predator-prey model - analysis. Periodic solutions. Predator-prey models with logistic growth in the prey in the absence o± predator. Modeling predator ±unc-tional response. (12) Two species Lotka-Volterra competition models. (13) Spruce budworm model. (14) Epidemic models. Cellular dynamics o± HIV. (15) Metapopulation and patch models. (16) Chemostat modeling. (17) Excitable systems. (18) Partial diferential models. Continuous age-structured model. Prerequisites: Diferential equations and linear algebra. Grading: Grades will be based on (1) Attendance; (2) Four take-home exams (3) Term paper (±or graduate students only). 1...
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- Spring '08
- Differential Equations, Linear Differential Equations, Mathematical Models in Population Biology and Epidemiology, Differential equations Mathematical Biology