Stochastic Population Models in Biology

Informações Básicas

Carga horária: 

45h

Pré-requisito: 

 Medida, Integração e Probabilidade

Ementa: 

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.

Bibliografia

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