The effects of evolution on the stability of competing species

S Elaydi, Y Kang, R Luís - Journal of biological dynamics, 2022 - Taylor & Francis
Based on evolutionary game theory and Darwinian evolution, we propose and study
discrete-time competition models of two species where at least one species has an evolving …

Global asymptotic stability of evolutionary periodic Ricker competition models

S Elaydi, Y Kang, R Luís - Journal of Difference Equations and …, 2024 - Taylor & Francis
This paper is dedicated to Jim Cushing on the occasion of his 80th birthday. It is inspired by
his work on evolutionary theory. We investigate the global dynamics of discrete-time …

Local stability conditions for a n-dimensional periodic mapping

R Luís, S Mendonça - Mathematics and Computers in Simulation, 2024 - Elsevier
In this paper we determine the necessary and sufficient conditions for asymptotically stability
of periodic cycles for periodic difference equations by using the Jury's conditions. Such …

Attractors in k-Dimensional Discrete Systems of Mixed Monotonicity

Z AlSharawi, JS Cánovas, S Kallel - Qualitative theory of dynamical …, 2024 - Springer
We consider k-dimensional discrete-time systems of the form xn+ 1= F (xn,…, xn-k+ 1) in
which the map F is continuous and monotonic in each one of its arguments. We define a …

Open Problems and Conjectures in the Evolutionary Periodic Ricker Competition Model

R Luís - Axioms, 2024 - mdpi.com
In this paper, we present a survey about the latest results in global stability concerning the
discrete-time evolutionary Ricker competition model with n species, in both, autonomous …

[PDF][PDF] The Stability of Frictional Sliding on Dip-Slip and Finite Length

RM Skarbek - eartharxiv.org
This paper examines the linear stability of sliding on faults embedded in a 2D elastic
medium 6 that obey rate and state friction and have a finite length and/or are near a traction …

A dinâmica do modelo populacional de Ricker

JT de Andrade Alves - 2023 - search.proquest.com
O modelo de Ricker é um dos vários modelos utilizados em ecologia para descrever a
dinâmica populacional que depende da densidade ao longo do tempo, observada em …

How far can we go in stability conditions for periodic maps?

R Luís - The 29th International Conference on …, 2024 - icdea2024.sciencesconf.org
In this talk we revisit the necessary and sufficient conditions for asymptotic stability of
periodic cycles for periodic difference equations by using the Jury's conditions. Such …

[PDF][PDF] The Stability of Frictional Sliding on Dip-Slip and Finite-Length Faults

R Skarbek - 2024 - eartharxiv.org
This paper examines the linear stability of sliding on faults embedded in a 2D elastic
medium that obey rate and state friction and have a finite length and/or are near a traction …

[引用][C] A dinâmica do modelo populacional de Ricker

JTA Alves - 2023