Stochastic Population Models in Biology

Markov population processes. Birth and death processes. Immigration, birth and death processes. Two-species interaction processes. Discrete-time Markov chains. Continuous time birth and death chains. Diffusion processes and applications of SDE in Biology.

Informações Básicas

Carga horária
45 horas
Pré-requisito
Medida, Integração e Probabilidade

Obrigatória: 

  • Stochastic population processes. Eric Renshaw. Oxford. 2011
  • An Introduction to Stochastic processes with Applications to Biology.  Linda J.S. Allen. CRC. 2011
  • Stochastic Population and Epidemic Models: Persistence and Extinction. Linda. J.S. Allen. 2015.

Complementar: 

  • Stochastic Population Models: A Compartmental Perspective. James Matis and Thomas Kiffe. 2000
  • Stochastic Differential Equations: An Introduction with Applications in Population Dynamics Modeling.  Michael J. Panik. 2017
  • Stochastic Population Dynamics in Ecology and Conservation. by Russell Lande and Steinar Engen. 2003
  • Markov Chains: From Theory to Implementation and Experimentation. by Paul A. Gagniuc. 2017
  • Stochastic Communities: A Mathematical Theory of Biodiversity. A. K. Dewdney. 2017