تقرير
On a New Mechanism of Pattern Formation in Population Dynamics
| العنوان: | On a New Mechanism of Pattern Formation in Population Dynamics |
|---|---|
| المؤلفون: | Génieys, Stéphane, Volpert, Vitaly, Auger, Pierre |
| المساهمون: | Institut Camille Jordan (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), Modélisation mathématique et informatique de systèmes complexes naturels, biologiques ou sociaux (GEODES) |
| المصدر: | https://hal.science/hal-00014486Test ; 2005. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2005 |
| المجموعة: | HAL Lyon 1 (University Claude Bernard Lyon 1) |
| مصطلحات موضوعية: | population dynamics, evolution, pattern formation, nonlocal interaction, integro-differential equations, wave propagation, 92D15, 45K05, 35P15, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] |
| الوصف: | We study a reaction-diffusion equation with an integral term describing nonlocal consumption of resources. We show that a homogeneous equilibrium can lose its stability resulting in appearance of stationary spatial structures. It is a new mechanism of pattern formation in population dynamics that can explain emergence of biological species due to intra-specific competition and random mutations.Travelling waves connecting an unstable homogeneous equilibrium and a periodic in space stationary solution are studied numerically. |
| نوع الوثيقة: | report |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/arxiv/math.AP/0511687; hal-00014486; https://hal.science/hal-00014486Test; https://hal.science/hal-00014486/documentTest; https://hal.science/hal-00014486/file/nonlocal7.pdfTest; ARXIV: math.AP/0511687; IRD: PAR00002979 |
| الإتاحة: | https://hal.science/hal-00014486Test https://hal.science/hal-00014486/documentTest https://hal.science/hal-00014486/file/nonlocal7.pdfTest |
| حقوق: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.7A9523A0 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |