MA22035: Mathematical biology: ecology and epidemiology
[Page last updated: 03 June 2024]
| Academic Year: | 2024/25 |
| Owning Department/School: | Department of Mathematical Sciences |
| Credits: | 5 [equivalent to 10 CATS credits] |
| Notional Study Hours: | 100 |
| Level: | Intermediate (FHEQ level 5) |
| Period: |
- Semester 2
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| Assessment Summary: | CWRI 100% |
| Assessment Detail: |
- Report Individual (CWRI 100%)
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| Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
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| Requisites: |
Before taking this module you must take MA22016 OR take MA12029
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| Learning Outcomes: |
* Demonstrate an understanding of the principles of mathematical ecology and epidemiology;
* Discuss and apply analytic, geometric and computational methods to study ordinary differential equation models for biological systems;
* Give a qualitative and quantitative account of the behaviour of ordinary differential equation models for biological systems;
* Interpret the mathematical analysis in terms of the original biological context.
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| Synopsis: | In this unit you will explore the use of applied maths to understand biological systems. You will study how to formulate, analyse and interpret appropriate mathematical models to examine ecological and epidemiological processes and phenomena. You will develop an understanding of the underlying biological theory, as well as the mathematics. This unit will give you the chance to see the extensive application of mathematics in another scientific discipline.
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| Content: | Modelling ecological and epidemiological dynamics with ordinary differential equations. Population dynamics of single species - basic reproductive ratio; Allee effects; harvesting; maximum sustainable yield; yield-effort curves; hysteresis. Population dynamics of interacting species - predator-prey models; functional responses; paradox of enrichment; competition models; principle of competitive exclusion. Infectious diseases - contact rates and paradigms; basic reproductive ratio; epidemic threshold theorems; final epidemic size; eradication and control. Parts of the content include using and adapting code for computational model analysis.
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| Course availability: |
MA22035 is Optional on the following courses:
Department of Chemistry
- USSC-AFB10 : BSc(Hons) Natural Sciences (Biochemistry and Chemistry) (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Biochemistry and Chemistry) with Study year abroad (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Biochemistry and Chemistry) with professional placement (Year 2)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Biology and Chemistry) (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Biology and Chemistry) with Study year abroad (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Biology and Chemistry) with professional placement (Year 2)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Chemistry and Pharmacology) (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Chemistry and Pharmacology) with Study year abroad (Year 2)
- USSC-AKB10 : BSc(Hons) Natural Sciences (Chemistry and Pharmacology) with professional placement (Year 2)
- USSC-AFM10 : MSci(Hons) Natural Sciences (Biochemistry and Chemistry) (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Biochemistry and Chemistry) with professional placement (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Biochemistry with Chemistry stream) with Study year abroad (Year 2)
- USSC-AFM10 : MSci(Hons) Natural Sciences (Biology and Chemistry) (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Biology and Chemistry) with Study year abroad (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Biology and Chemistry) with professional placement (Year 2)
- USSC-AFM10 : MSci(Hons) Natural Sciences (Chemistry and Pharmacology) (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Chemistry and Pharmacology) with Study year abroad (Year 2)
- USSC-AKM10 : MSci(Hons) Natural Sciences (Chemistry and Pharmacology) with professional placement (Year 2)
Department of Mathematical Sciences
- USMA-AFB30 : BSc(Hons) Mathematics (Year 2)
- USMA-AFB32 : BSc(Hons) Mathematics and Statistics (Year 2)
- USMA-AKB32 : BSc(Hons) Mathematics and Statistics with professional placement (Year 2)
- USMA-AKB32 : BSc(Hons) Mathematics and Statistics with study abroad (Year 2)
- USMA-AFB33 : BSc(Hons) Mathematics, Statistics and Data Science (Year 2)
- USMA-AKB33 : BSc(Hons) Mathematics, Statistics and Data Science with professional placement (Year 2)
- USMA-AKB33 : BSc(Hons) Mathematics, Statistics and Data Science with study abroad (Year 2)
- USMA-AKB30 : BSc(Hons) Mathematics with professional placement (Year 2)
- USMA-AKB30 : BSc(Hons) Mathematics with study abroad (Year 2)
- USMA-AFM30 : MMath(Hons) Mathematics (Year 2)
- USMA-AKM30 : MMath(Hons) Mathematics with professional placement (Year 2)
- USMA-AKM31 : MMath(Hons) Mathematics with study abroad (Year 2)
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Notes: - This unit catalogue is applicable for the 2024/25 academic year only. Students continuing their studies into 2025/26 and beyond should not assume that this unit will be available in future years in the format displayed here for 2024/25.
- Courses and units are subject to change in accordance with normal University procedures.
- Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
- Find out more about these and other important University terms and conditions here.
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