On the dynamics of a hyperbolic–exponential model of growth with density dependence

In this paper we consider a hyperbolic–exponential model of growth with density regulation and two different stages, following the scheme proposed in Rodríguez (1998). We analyze the dynamics and the complexity of the system, in particular, we study the existence and stability of the fixed points in...

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Bibliographic Details
Published inCommunications in nonlinear science & numerical simulation Vol. 104; p. 106050
Main Authors Cánovas, Jose S., Muñoz-Guillermo, María
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.01.2022
Elsevier Science Ltd
Subjects
Chaos
Complexity
Density
Density dependence
Fluid dynamics
Game theory
Mathematical models
Numerical analysis
Population dynamics
Topological entropy
Chaos
37B40
92D25
Topological entropy
Population dynamics
Density dependence
65P20
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Summary:In this paper we consider a hyperbolic–exponential model of growth with density regulation and two different stages, following the scheme proposed in Rodríguez (1998). We analyze the dynamics and the complexity of the system, in particular, we study the existence and stability of the fixed points in terms of the W Lambert function and the existence of chaos is proved for a range of parameter values. The model also exhibits dynamic Parrondo’s paradox, obtaining complex dynamics when two simple maps are combined. •Density dependence for a population model is considered involving two different maps.•Topological conjugacy allows to reduce the number of parameters in the model.•The W Lambert function is used in the analysis of the stability of the fixed points.•Topological and physically observable chaos is analyzed in the model.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2021.106050