MATH 457 — Mathematical Biology I
Mathematics · University of Ghana
In this course we focus on 3 types of biological phenomena to be modelled, namely single species population dynamics, interacting species and molecular dynamics. In single species population dynamics we will use difference equations, graphical analysis, fixed points and linear stability analysis. First order systems of ordinary differential equations: logistic equation, steady states, linearisation, and stability. We will examine applications to harvesting and fisheries. For interacting species we examine systems of difference equations (hostparasitoid systems) and systems of ordinary differential equations (predator-prey and competition models). Finally, we will consider biochemical kinetics, Michaelis-Menten kinetics and metabolic pathways, activation and inhibition.
- Credits
- 3
- Level
- Level 400
- Semester
- Semester One
Other courses on this programme
- MATH 440 — Abstract Algebra II-Prerequisite MATH 354
- MATH 441 — Advanced Calculus-Prerequisite MATH 351 or MATH 353
- MATH 442 — Integration Theory and Measure –Prerequisite MATH 356
- MATH 443 — Differential Geometry-Prerequisite MATH 355
- MATH 444 — Calculus on Manifolds-Prerequisite MATH 441
- MATH 445 — Introductory Functional Analysis-Prerequisite MATH 356
- MATH 446 — Module Theory-Prerequisite MATH 440
- MATH 447 — Complex Analysis-Prerequisite MATH 223
- MATH 448 — Special Relativity- Prerequisite MATH 362
- MATH 449 — Electromagnetic Theory II-Prerequisite MATH 366
- MATH 450 — Differential Equations II-Prerequisite MATH 350
- MATH 451 — Introduction to Algebraic Field Theory-Prerequisite MATH 354
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Start freeCourse details from University of Ghana Volume 3 Handbook for the Bachelor's Degree: Course Descriptions for Programmes in the Sciences (2017).