Population Modeling 101

• cours magistral
• exposé

Population Modeling 101 1 Introduction Here, we talk about basic populational modeling from a mathematical perspective. We talk about continuous time models which are formulated in terms of differential equations. A developement of discrete populations models will also be discussed. A link between the ideas will be given. Then, numerical simulations are performed on Matlab. 2 Basic Modeling of One species Here, an introduction to several population models are discussed. Each model is analyzed in the continuous and discrete time cases and a link is given between the two.

• continuous time models
• developement of discrete populations models
• discrete theta
• exact solution
• exponential growth
• basic model for radioactive decay
• logistic model
• population
• time