Code the lotka-volterra model of predator-prey interactions


Mini Project: Predator-Prey Dynamics

The aim of this miniproject is to code the Lotka-Volterra model of predator-prey interactions, and to explore how its behaviour compares to historical population data of Hare and Lynx as inferred from the fur pelt records provided.

Report Format:

1.1 Introducing the mini-projects

1.1.1 The mini-project report

To complete SysMIC module 1 choose one project to investigate and submit a report on your work. Your report should include the following content:

I. Abstract

II. Description of the Biological system explored

In this section you should provide an overview of the important features of the system and discuss the motivation for building a model of the system.

III. Description of the model used

Start with the suggested model for the system. You should:

Describe the model in full.

Discuss the simplifying assumptions the model makes.

Discuss your approach to setting up any parameter values or initial conditions required by the model.

IV. Code listings

In order for us to check your work its necessary to be able to have access to any code you develop and use to investigate the model. Please submit any relevant code files alongside with your miniproject report, and include an example code listing section in your report, e.g.

  • a function file that encodes the model
  • a script file containing the commands that run the ode45 solver and plot the output.

V. Extended discussion

Describe how you explored the behaviour of the model discuss the results of your work. This should include:

Suitable cross checks that show your code and model behaves correctly.

Comments on the models behaviour using appropriate figures.

A discussion on how your findings relate to the biological system modeled.

A critical discussion on the quality of your results, e.g. Are they qualitative or quantitative? What assumptions do your conclusions rest upon?

VI. Outlook

Summarize the outcomes of your work, and then suggest how your investigation might be extended. This could include:

Ways to modify or improve the model to make it more realistic.

The important biological questions that could be addressed with the help of your model (or a refined and improved version of it).

Written report 5-10 pages in word.

Attachment:- Project Report-Predator-Prey Dynamics.rar

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Other Subject: Code the lotka-volterra model of predator-prey interactions
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