Results 91 to 100 of about 1,820 (161)

Verhulst's logistic curve

open access: yes, 2007
We observe that the elementary logistic differential equation dP/dt=(1-P/M)kP may be solved by first changing the variable to R=(M-P)/P. This reduces the logistic differential equation to the simple linear differential equation dR/dt=-kR, which can be ...
Bradley, David M.
core   +1 more source

With Andrzej Lasota There and Back Again

open access: yesAnnales Mathematicae Silesianae
The paper below is a written version of the 17th Andrzej Lasota Lecture presented on January 12th, 2024 in Katowice. During the lecture we tried to show the impact of Andrzej Lasota’s results on the author’s research concerning various fields of ...
Rudnicki Ryszard
doaj   +1 more source

Dynamical behavior for a stochastic two-species competitive model

open access: yesOpen Mathematics, 2017
This paper deals with a stochastic two-species competitive model. Some very verifiable criteria on the global stability of the positive equilibrium of the deterministic system are established.
Xu Changjin, Liao Maoxin
doaj   +1 more source

A model of competing species that exhibits zip bifurcation

open access: yesRevista Integración, 2017
The purpose of this paper is to present a concrete model of competing population species that exhibits a phenomenon called zip bifurcation. The Zip Bifurcation was introduced by Farkas in 1984 for a three dimensional ODE prey-predator system describing a
Luis F. Echeverri   +2 more
doaj   +1 more source

A new proof of the competitive exclusion principle in the chemostat

open access: yes, 2017
We give an new proof of the well-known competitive exclusion principle in the chemostat model with $n$ species competing for a single resource, for any set of increasing growth functions. The proof is constructed by induction on the number of the species,
Rapaport, Alain, Veruete, Mario
core  

Quasi-stationary distribution for multi-dimensional birth and death processes conditioned to survival of all coordinates

open access: yes, 2015
This article studies the quasi-stationary behaviour of multidimensional birth and death processes, modeling the interaction between several species, absorbed when one of the coordinates hits 0.
Champagnat, Nicolas, Villemonais, Denis
core   +1 more source

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