Traveling wave solutions for monotone systems of impulsive reaction-diffusion equations
Many systems in life sciences have been modeled by Reaction Diffusion Equations (RDE). However, under some circumstances, these biological systems may experience instantaneous and periodic perturbations (e.g. harvest, birth, release) such that an appropriate formalism is necessary, using, for instance, Impulsive Reaction Diffusion Equations (IRDE). While the study of traveling waves for monotone RDE has been done in several works, like [2], very little has been done in the case of (monotone) IRDE. Based on recursion equations theory [1], we aim to present in this talk a generic framework that handles two main issues of IRDE. First, it allows the characterization of spreading speeds in monotone systems of IRDE. Second, it deals with the existence of traveling waves for (nonlinear) monotone systems of IRDE. We apply our methodology to a system of IRDE that models tree-grass interactions in fire-prone savanna [4], extending the result obtained in [3].
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dig-cirad-fr-5930342021-08-03T10:22:19Z http://agritrop.cirad.fr/593034/ http://agritrop.cirad.fr/593034/ Traveling wave solutions for monotone systems of impulsive reaction-diffusion equations. Yatat Djeumen Ivric Valaire, Banasiak Jacek, Dumont Yves. 2019. In : Book of abstracts of the conference on mathematical methods and models in biosciences 16th-22nd of june 2019, Bedlewo, Poland. University of Warsaw, Banach Center, Institute of Mathematics of Polish Academy of Sciences, Biomath Forum, Mathematical Biosciences Institute, Ohio State University, Łódź University of Technology, University of Pretoria, Bulgarian Academy of Sciences. Bedlowo : University of Warsaw, Résumé, 86. Biomath 2019: international conference on Mathematical Methods and Models in Biosciences, Bedlowo, Pologne, 16 Juin 2019/22 Juin 2019.https://www.impan.pl/konferencje/bcc/2019/19-biomath/abstracts/ivric-valaire-yatat-djeumen-13122103012019-09481204222019.pdf <https://www.impan.pl/konferencje/bcc/2019/19-biomath/abstracts/ivric-valaire-yatat-djeumen-13122103012019-09481204222019.pdf> Researchers Traveling wave solutions for monotone systems of impulsive reaction-diffusion equations Yatat Djeumen, Ivric Valaire Banasiak, Jacek Dumont, Yves eng 2019 University of Warsaw Book of abstracts of the conference on mathematical methods and models in biosciences 16th-22nd of june 2019, Bedlewo, Poland Many systems in life sciences have been modeled by Reaction Diffusion Equations (RDE). However, under some circumstances, these biological systems may experience instantaneous and periodic perturbations (e.g. harvest, birth, release) such that an appropriate formalism is necessary, using, for instance, Impulsive Reaction Diffusion Equations (IRDE). While the study of traveling waves for monotone RDE has been done in several works, like [2], very little has been done in the case of (monotone) IRDE. Based on recursion equations theory [1], we aim to present in this talk a generic framework that handles two main issues of IRDE. First, it allows the characterization of spreading speeds in monotone systems of IRDE. Second, it deals with the existence of traveling waves for (nonlinear) monotone systems of IRDE. We apply our methodology to a system of IRDE that models tree-grass interactions in fire-prone savanna [4], extending the result obtained in [3]. conference_item info:eu-repo/semantics/conferenceObject Conference info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/593034/7/ID593034.pdf text Cirad license info:eu-repo/semantics/openAccess https://agritrop.cirad.fr/mention_legale.html https://www.impan.pl/konferencje/bcc/2019/19-biomath/abstracts/ivric-valaire-yatat-djeumen-13122103012019-09481204222019.pdf info:eu-repo/semantics/altIdentifier/purl/https://www.impan.pl/konferencje/bcc/2019/19-biomath/abstracts/ivric-valaire-yatat-djeumen-13122103012019-09481204222019.pdf |
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Many systems in life sciences have been modeled by Reaction Diffusion Equations (RDE). However, under some circumstances, these biological systems may experience instantaneous and periodic perturbations (e.g. harvest, birth, release) such that an appropriate formalism is necessary, using, for instance, Impulsive Reaction Diffusion Equations (IRDE). While the study of traveling waves for monotone RDE has been done in several works, like [2], very little has been done in the case of (monotone) IRDE. Based on recursion equations theory [1], we aim to present in this talk a generic framework that handles two main issues of IRDE. First, it allows the characterization of spreading speeds in monotone systems of IRDE. Second, it deals with the existence of traveling waves for (nonlinear) monotone systems of IRDE. We apply our methodology to a system of IRDE that models tree-grass interactions in fire-prone savanna [4], extending the result obtained in [3]. |
format |
conference_item |
author |
Yatat Djeumen, Ivric Valaire Banasiak, Jacek Dumont, Yves |
spellingShingle |
Yatat Djeumen, Ivric Valaire Banasiak, Jacek Dumont, Yves Traveling wave solutions for monotone systems of impulsive reaction-diffusion equations |
author_facet |
Yatat Djeumen, Ivric Valaire Banasiak, Jacek Dumont, Yves |
author_sort |
Yatat Djeumen, Ivric Valaire |
title |
Traveling wave solutions for monotone systems of impulsive reaction-diffusion equations |
title_short |
Traveling wave solutions for monotone systems of impulsive reaction-diffusion equations |
title_full |
Traveling wave solutions for monotone systems of impulsive reaction-diffusion equations |
title_fullStr |
Traveling wave solutions for monotone systems of impulsive reaction-diffusion equations |
title_full_unstemmed |
Traveling wave solutions for monotone systems of impulsive reaction-diffusion equations |
title_sort |
traveling wave solutions for monotone systems of impulsive reaction-diffusion equations |
publisher |
University of Warsaw |
url |
http://agritrop.cirad.fr/593034/ http://agritrop.cirad.fr/593034/7/ID593034.pdf |
work_keys_str_mv |
AT yatatdjeumenivricvalaire travelingwavesolutionsformonotonesystemsofimpulsivereactiondiffusionequations AT banasiakjacek travelingwavesolutionsformonotonesystemsofimpulsivereactiondiffusionequations AT dumontyves travelingwavesolutionsformonotonesystemsofimpulsivereactiondiffusionequations |
_version_ |
1758026263558094848 |