<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this work, a partial differential equation model for evolutionary dynamics is presented that describes changes in densities of phenotypes in a population. We consider that the traits of individuals of a population are distributed at an interval of real numbers where a mortality rate is assigned for each value of this interval. We present some conditions for stability of stationary solutions and apply the model in theoretical scenarios of natural selection. Particularly we approach cases of stabilising, disruptive and directional selection, including the scenario of the survival of the flattest. Some computational simulations are performed to illustrate the results obtained.</p>
</abstract>

In this work, a partial differential equation model for evolutionary dynamics is presented that describes changes in densities of phenotypes in a population. We consider that the traits of individuals of a population are distributed at an interval of real numbers where a mortality rate is assigned for each value of this interval. We present some conditions for stability of stationary solutions and apply the model in theoretical scenarios of natural selection. Particularly we approach cases of stabilising, disruptive and directional selection, including the scenario of the survival of the flattest. Some computational simulations are performed to illustrate the results obtained.

Selection by differential mortality rates

Departamento de Ciêcias Exatas e da Terra

Dipartimento di Matematica ‘Giuseppe Peano’

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Selection by differential mortality rates"}

In this work, a partial differential equation model for evolutionary dynamics is presented that describes changes in densities of phenotypes in a population....

Selection by differential mortality rates

Publié en ligne: 26 mai 2021

Pages: 2049 - 2062

Reçu: 24 juin 2020

Accepté: 26 févr. 2021

DOI: https://doi.org/10.2478/amns.2021.2.00018

Mots clés
evolution equation, natural selection, dynamical systems

© 2021 M. S. Cecconello et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Selection by differential mortality rates

Publié en ligne: 26 mai 2021

Pages: 2049 - 2062

Reçu: 24 juin 2020

Accepté: 26 févr. 2021

DOI: https://doi.org/10.2478/amns.2021.2.00018

Mots clésevolution equation, natural selection, dynamical systems

© 2021 M. S. Cecconello et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
evolution equation, natural selection, dynamical systems