In the first part, we focus on monotype populations described by one-dimensional stochastic differential equations with jumps. We consider their scaling limits for large populations and study the long time behavior of the limiting processes.
It is achieved, thanks to martingale properties, Poisson measure representations, and stochastic calculus. These tools and results will be used and extended to measure-valued processes in the second part. The latter is dedicated to structured populations, where individuals are characterized by a trait belonging to a continuum.
- Search form.
- Sylvie Méléard - Wikipedia.
- SMILE: Stochastic Models for the Inference of Life Evolution.
- Buddhist Missionaries in the Era of Globalization;
- Dark Fire (The Carpathians (Dark) Series, Book 6).
- Stochastic Models for Structured Populations : Scaling Limits and Long Time Behavior!
- Sylvie Méléard!
If the population is large, so many birth and death events occur that the dynamics becomes difficult to describe individual per individual. Living systems need resources in order to survive and reproduce and the biomass per capita depends on the order of magnitude of these resources.
In this part, we consider a new class of stochastic differential equations for monotype populations, taking into account exceptional events where an individual has a large number of offspring. Combining this property with the tools developed in the first part, we describe finely the processes, their long time behavior, and the scaling limits they come from. We deal now with a new family of branching processes taking into account the effect of the environment on the population dynamics.
It may cause random fluctuations of the growth rate [12, 33] or catastrophes which kill a random fraction of the population .
Stochastic Models for Structured Populations
In the previous sections, the models that we considered described a homogeneous population and could be considered as toy models. A first generalization consists in considering multitype population dynamics. The polymorphic evolution sequence for populations with phenotypic plasticity Martina Baar , Anton Bovier. References Publications referenced by this paper.
- Using IntranetWare.
- Bestselling Series.
- Navigation menu;
- Stochastic Models for Structured Populations : Sylvie Meleard : ?
- Stochastic Models for Structured Populations: Scaling Limits and Long Time Behavior (Paperback);
- Eating Clean For Dummies?
- The critical domain size of stochastic population models;
Survival and extinction in a locally regulated population Alison Etheridge. Markov Processes, Characterization and Convergence.
Edwin A. Perkins , S. Enter the code below and hit Verify. Free Shipping All orders of Cash on Delivery Pay for your order in cash at the moment the shipment is delivered to your doorstep. Log In.
Stochastic models for structured populations scaling limits and long …
Don't have an account? Sign Up. Update your profile Let us wish you a happy birthday! Add your birthday.
- The critical domain size of stochastic population models.
- Student Encyclopedia of African Literature;
Buy it Again. Make sure to buy your groceries and daily needs Buy Now. Let us wish you a happy birthday! Date of Birth.
Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Month January February March April May June July August September October November December Year Please fill in a complete birthday Enter a valid birthday. Thank You! Sports Women sports wear Men sportswear Women athlatic shoes Men athlatic shoes.
Food Cupboard Confectionery.
Related Stochastic Models for Structured Populations: Scaling Limits and Long Time Behavior
Copyright 2019 - All Right Reserved