gauseR: Simple methods for fitting Lotka‐Volterra models describing Gause’s “Struggle for Existence”
Sign Up to like & getrecommendations! Published in 2020 at "Ecology and Evolution"
DOI: 10.1002/ece3.6926
Abstract: Abstract Point 1: The ecological models of Alfred J. Lotka and Vito Volterra have had an enormous impact on ecology over the past century. Some of the earliest—and clearest—experimental tests of these models were famously… read more here.
Keywords: package; gauser; lotka volterra; fitting lotka ... See more keywords
Robust passivity analysis of Markov‐type Lotka–Volterra model with time‐varying delay and uncertain mode transition rates
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DOI: 10.1002/mma.6447
Abstract: This paper devotes to the global robust passivity problem for a novel Markovian switching Lotka–Volterra (LV) model with time‐varying delay. The Markovian switching with uncertain mode transition rates is first drawn into modeling the predator–prey… read more here.
Keywords: model time; lotka volterra; volterra model; robust passivity ... See more keywords
Global stability in a three‐species Lotka–Volterra cooperation model with seasonal succession
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DOI: 10.1002/mma.7744
Abstract: In this paper, we focus on a three‐species Lotka–Volterra cooperation model with seasonal succession. The Floquet multipliers of all nonnegative periodic solutions of such a time‐periodic system are estimated via the stability analysis of equilibria.… read more here.
Keywords: lotka volterra; species lotka; seasonal succession; three species ... See more keywords
On the conjecture for the pushed wavefront to the diffusive Lotka–Volterra competition model
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DOI: 10.1007/s00285-020-01467-0
Abstract: This paper concerns ecological invasion phenomenon of species based on the diffusive Lotka–Volterra competition model. We investigate the spreading speed (or the minimal wave speed of traveling waves) selection to the model and concentrate on… read more here.
Keywords: conjecture; volterra competition; competition model; lotka volterra ... See more keywords
Existence and Uniqueness of the Positive Steady State Solution for a Lotka-Volterra Predator-Prey Model with a Crowding Term
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DOI: 10.1007/s10473-020-0622-7
Abstract: This paper deals with a Lotka-Volterra predator-prey model with a crowding term in the predator equation. We obtain a critical value λ 1 D (Ω 0 ), and demonstrate that the existence of the predator… read more here.
Keywords: predator prey; prey model; lotka volterra; predator ... See more keywords
Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System
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DOI: 10.1007/s10884-021-10090-6
Abstract: The existence of nonmonotone traveling wave solutions of the three-species Lotka–Volterra competition diffusion system under strong competition is established. A traveling wave solution can be considered as a heteroclinic orbit of a vector field in… read more here.
Keywords: three species; volterra competition; lotka volterra; species lotka ... See more keywords
A Geometric Investigation of the Invariant Algebraic Curves in Two Dimensional Lotka–Volterra Systems
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DOI: 10.1007/s11786-017-0311-7
Abstract: The aim of this work is to investigate the geometric behaviour of the invariant algebraic curves in two dimensional Lotka–Volterra systems, first classified by Moulin-Ollagnier. read more here.
Keywords: lotka volterra; two dimensional; curves two; algebraic curves ... See more keywords
Integrability and Linearizability Problems of Three Dimensional Lotka–Volterra Equations of Rank-2
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DOI: 10.1007/s12346-019-00329-5
Abstract: AbstractThis paper deals with both integrability and linearizability problems of three dimensional Lotka–Volterra systems at the origin with rank-2. We give necessary conditions of a system with quadratic nonlinearities with $$(1:3:-\,1)$$(1:3:-1)-resonance. We proved the sufficiency… read more here.
Keywords: three dimensional; integrability linearizability; problems three; linearizability problems ... See more keywords
Estimation and Identifiability of Parameters for Generalized Lotka-Volterra Biological Systems Using Adaptive Controlled Combination Difference Anti-Synchronization
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DOI: 10.1007/s12591-020-00534-8
Abstract: This manuscript systematically describes a procedure to investigate the combination difference anti-synchronization scheme among three identical chaotic generalized Lotka-Volterra biological systems. Initially, an adaptive parameter identification control method has been proposed which is based on… read more here.
Keywords: combination difference; generalized lotka; anti synchronization; volterra biological ... See more keywords
Dynamical analysis, linear feedback control and synchronization of a generalized Lotka-Volterra system
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DOI: 10.1007/s40435-016-0299-x
Abstract: In this paper, a generalized Lotka-Volterra (GLV) system, which is modeled by a set of equations that represents the dynamical behaviors of two-predator and one prey species, is analysed. The boundedness, existence and uniqueness of… read more here.
Keywords: linear feedback; generalized lotka; system; control ... See more keywords
Turing Patterns for a Nonlocal Lotka–Volterra Cooperative System
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DOI: 10.1007/s44198-021-00002-z
Abstract: This paper is devoted to investigating the pattern dynamics of Lotka–Volterra cooperative system with nonlocal effect and finding some new phenomena. Firstly, by discussing the Turing bifurcation, we build the conditions of Turing instability, which… read more here.
Keywords: cooperative system; lotka volterra; system; patterns nonlocal ... See more keywords