Dans cette Note, nous étudions un système non linéaire d’équations différentielles partielles de type réaction-diffusion décrivant l’évolution d’un système biologique proie-prédateur avec chimiotaxie et prédateurs dormants. Nous considérons une équation ordinaire couplée à un système parabolique de chimiotaxie. Sous certaines hypothèses appropriées, nous obtenons l’existence globale en temps de solutions classiques du système considéré dans n’importe quelle dimension spatiale.
In this Note we study a nonlinear system of reaction-diffusion differential equations consisting of an ordinary differential equation coupled to a fully parabolic chemotaxis system. This system constitutes a mathematical model for the evolution of a prey-predator biological population with chemotaxis and dormant predators. Under suitable assumptions we prove the global in time existence and boundedness of classical solutions of this system in any space dimension.
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René Dáger 1 ; Víctor Navarro 2 ; Mihaela Negreanu 2
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@article{CRMATH_2020__358_1_103_0, author = {Ren\'e D\'ager and V{\'\i}ctor Navarro and Mihaela Negreanu}, title = {Uniform boundedness of solutions for a predator-prey system with diffusion and chemotaxis}, journal = {Comptes Rendus. Math\'ematique}, pages = {103--108}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {1}, year = {2020}, doi = {10.5802/crmath.17}, language = {en}, }
TY - JOUR AU - René Dáger AU - Víctor Navarro AU - Mihaela Negreanu TI - Uniform boundedness of solutions for a predator-prey system with diffusion and chemotaxis JO - Comptes Rendus. Mathématique PY - 2020 SP - 103 EP - 108 VL - 358 IS - 1 PB - Académie des sciences, Paris DO - 10.5802/crmath.17 LA - en ID - CRMATH_2020__358_1_103_0 ER -
%0 Journal Article %A René Dáger %A Víctor Navarro %A Mihaela Negreanu %T Uniform boundedness of solutions for a predator-prey system with diffusion and chemotaxis %J Comptes Rendus. Mathématique %D 2020 %P 103-108 %V 358 %N 1 %I Académie des sciences, Paris %R 10.5802/crmath.17 %G en %F CRMATH_2020__358_1_103_0
René Dáger; Víctor Navarro; Mihaela Negreanu. Uniform boundedness of solutions for a predator-prey system with diffusion and chemotaxis. Comptes Rendus. Mathématique, Volume 358 (2020) no. 1, pp. 103-108. doi : 10.5802/crmath.17. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.17/
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