MAT204 – Population Dynamics

Module designation

Population Dynamics (MAT204)

Semester(s) in which the module is taught

4th

Person responsible for the module

Dr. Miswanto, M.Si.

Language

Indonesian and english

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture, lesson and project

Workload (incl. contact hours, self-study hours)

3×170 minutes (3×50 minutes lecture and lesson, 3×60 minutes structural activities, 3×60 minutes self-study) per week for 16 weeks

Credit points

3 CP (4,8 ECTS)

Required and recommended prerequisites for joining the module

Partial Differential Equations (MAT211)

Module objectives/intended learning outcomes

General Competence (Knowledge)

Being able to apply mathematical concepts in describing population dynamic model.

Specific Competencies: Students are able to

1.      Explain continuous population growth model.

2.      Explain discreet population growth model.

3.      Explain predator-prey model.

4.      Apply population dynamic model on some (simple) real cases.

Content

Exponential and logistic growth model, equilibrium and stability concepts, population growth model with harvesting, discreet growth model, Lotka-Volterra model, periodic solution and limit cycle, predator-prey system.

Examination forms

Essay and oral presentation

Study and examination requirements

Students are considered to pass if they at least have got a final score 40 (D).

Final score is calculated as follow: 10% softskill + 19% assignment + 16% quiz +  25% midterm + 30% final exam.

Final index is defined as follow:

Reading list

1.      Brauer, F., and Castillo-Chavez, C., 2012, Mathematical Models in Population Biology and Epidemiology, Springer-Verlag, New York, Inc.

2.      Boyce, W.E. and Di Prima,  R. C., 2009, Elementary Differential Equation and Boundary Value Problem,  9 th Edition , John Wiley & Sons Inc. New York.