AdS2012 - analysis. (7) Two-species models. Two species...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Spring 2012 UNDERGRADUATE/GRADUATE COURSE ANNOUNCEMENT Course title MODELING IN MATH. BIOLOGY Course number MAP5489/MAP4484 Schedule, Room MWF 3 , LIT 127 Instructor Maia Martcheva maia@math.uf.edu http://www.math.uf.edu/ maia Main themes Diferential equations Mathematical Biology Books: (1) Fred Brauer, Carlos Castillo-Chavez, Mathematical Models in Population Biol- ogy and Epidemiology, Springer, 2001. (2) Linda J. S. Allen, An Introduction to Mathematical Biology, Prentice Hall, 2006. (3) Nicholas F. Britton, Essential Mathematical Biology, Springer, 2003. Syllabus: (1) Deriving single species di±erential equation models – Malthus model and logistic growth. (2) Harvesting single populations. (3) Single spieces discrete time population models. (4) Continuous single species population models with delay. (5) Models o² interacting populations – predator-prey Lotka-Volterra model. (6) Local stability o² non-linear systems o² equations. Linearization. Phase-plane
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: analysis. (7) Two-species models. Two species logistic Lotka-Volterra model. Global stability via Lyapunov unction. (8) Predator-prey models with periodic solutions. Modeling predator unctional re-sponse. (9) Epidemic modeling. (10) Two species Lotka-Volterra competition models. (11) Mutualism (12) Cellular dynamics o 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 dierential models. Continuous age-structured model. (17) Partial dierential models with diusion. Prerequisites: Dierential equations and linear algebra. Grading: Grades will be based on (1) Attendance; (2) Two exams (3) Homeworks (4) Term paper and presentation (or graduate students only). 1...
View Full Document

This note was uploaded on 03/20/2012 for the course MAP 4484 taught by Professor Martcheva,m during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online