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Stochastic Population Processes "Analysis, Approximations, Simulations"

Stochastic Population Processes "Analysis, Approximations, Simulations"

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  • ISBN:9780198739067
  • Editorial: Oxford University Press.
  • Fecha de la edición:
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  • Nº Pág.:672
  • Idiomas:Ingles

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The vast majority of random processes in the real world have no memory - the next step in their development depends purely on their current state. Stochastic realizations are therefore defined purely in terms of successive event-time pairs, and such systems are easy to simulate irrespective of their degree of complexity. However, whilst the associated probability equations are straightforward to write down, their solution usually requires the use of approximation and perturbation

Preface ; 1. Introduction ; 2. Simple Markov Population Processes ; 3. General Markov Population Processes ; 4. The Random Walk ; 5. Markov Chains ; 6. Markov Processes in Continuous Time and Space ; 7. Modelling Bivariate Processes ; 8. Two-Species Interaction Processes ; 9. Spatial Processes ; 10. Spatial-Temporal Extensions ; References ; Index

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