Selection by differential mortality rates-Reference-Cited by-同舟云学术

Selection by differential mortality rates

Published:2021-05-26 Issue:0 Volume:0 Page:
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Cecconello M. S.¹,de Assis R. A.²,de Assis L. M. E.³,Venturino E.³

Affiliation:

1. Departamento de Ciêcias Exatas e da Terra , Universidade Federal de Mato Grosso , Av. Fernando Corrêa da Costa, 2367 , Cuiabá , MT , BRAZIL

2. Faculdade de Ciências Exatas e Tecnológicas , Universidade do Estado de Mato Grosso , Av. dos Ingás 3001 , Sinop , MT , BRAZIL

3. Dipartimento di Matematica ‘Giuseppe Peano’ , Università di Torino , via Carlo Alberto 10 , Torino , ITALY . Member of the INdAM research group GNCS .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2021.2.00018

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