Revisiting the Logistic Growth with Random Disturbances

Paweł Klimasara. "Revisiting the Logistic Growth with Random Disturbances." Mathematica Applicanda 47.2 (2019): null. <http://eudml.org/doc/295500>.

@article{PawełKlimasara2019,
abstract = {The logistic growth population model still can help explain ecological phenomena. We consider a simple 1-dimensional model of savanna introduced by D’Odorico, Laio, and Ridolfi [A probabilistic analysis of fire-induced tree-grass coexistence in savannas. The American Naturalist 167, 2006] which is in fact a model of tree-grass coexistence driven by stochastic fire. We provide an appropriate stochastic process for this model and study it using the stochastic semigroup theory. Finally, we give the condition inducing the existence of a unique stationary distribution of woody biomass.},
author = {Paweł Klimasara},
journal = {Mathematica Applicanda},
keywords = {population dynamics, logistic growth, ecological modeling, savanna, savanna question, stationary density, piecewise deterministic Markov processes.},
language = {eng},
number = {2},
pages = {null},
title = {Revisiting the Logistic Growth with Random Disturbances},
url = {http://eudml.org/doc/295500},
volume = {47},
year = {2019},
}

TY - JOUR
AU - Paweł Klimasara
TI - Revisiting the Logistic Growth with Random Disturbances
JO - Mathematica Applicanda
PY - 2019
VL - 47
IS - 2
SP - null
AB - The logistic growth population model still can help explain ecological phenomena. We consider a simple 1-dimensional model of savanna introduced by D’Odorico, Laio, and Ridolfi [A probabilistic analysis of fire-induced tree-grass coexistence in savannas. The American Naturalist 167, 2006] which is in fact a model of tree-grass coexistence driven by stochastic fire. We provide an appropriate stochastic process for this model and study it using the stochastic semigroup theory. Finally, we give the condition inducing the existence of a unique stationary distribution of woody biomass.
LA - eng
KW - population dynamics, logistic growth, ecological modeling, savanna, savanna question, stationary density, piecewise deterministic Markov processes.
UR - http://eudml.org/doc/295500
ER -