Multidimensional nonlinear di u-sion arising in population genetics

Keywords

Mathematics, Nonlinear system, Diffusion, Population, Population genetics

References

• A stability analysis for a semilinear parabolic partial differential equationNathaniel Chafee — 1974
• Maximum principles in differential equationsMurray H. Protter, Hans F. Weinberger — 1967
• On the growing up problem for semilinear heat equationsKusuo Kobayashi, Tunekiti Sirao, Hiroshi Tanaka — 1977
• THE WAVE OF ADVANCE OF ADVANTAGEOUS GENESRonald Aylmer Fisher — 1937
• On nonexistence of global solutions of some semilinear parabolic equationsKantaro Hayakawa — 1973
• Ordinary Differential EquationsFrank Smithies — 1968
• Ordinary Differential EquationsHarry Hochstadt, Ivana Petrovski, Richard A. Silverman — 1967
• Nonlinear diffusion in population genetics, combustion, and nerve pulse propagationD. Aronson, H. Weinberger — 1975

Cited by

• Mathematical modeling of the excitation process in myocardial tissue: influence of fiber rotation on wavefront propagation and potential field.Javier Goñi — 1990
• A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equationL. A. Peletier, William C. Troy — 1995
• Some exact solutions of a generalized Fisher equation related to the problem of biological invasion.志帆 北原, 和之 犬伏 — 2001
• Effect of Microscopic Noise on Front PropagationÉric Brunet-Gouet, Bernard Derrida — 2001
• SPREADING SPEEDS AND TRAVELING WAVES FOR NON-COOPERATIVE INTEGRO-DIFFERENCE SYSTEMSHaiyan Wang, Carlos Castillo‐Chávez — 2010
• An Emerging Allee Effect Is Critical for Tumor Initiation and PersistenceY. D. Yoon, S. H. Kim, D. S. Kim — 2015
• Complexité de dynamiques de modèles proie-prédateur avec diffusion et applications. (Dynamics omplexity of diffusive predator-prey models and applications)Baba Issa Camara — 2009
• A Rigorous Upper Bound on the Propagation Speed for the Swift–Hohenberg and Related EquationsPierre Collet, Jean‐Pierre Eckmann — 2002
• Travelling fronts in cylindersHenri Berestycki, Louis Nirenberg — 1992
• Existence and Stability of Standing and Traveling Wave Solutions Arising from Synaptically Coupled Neuronal NetworksMelissa Anne Stoner — 2011
• Uniqueness of travelling fronts for bistable nonlinear transport equationsHartmut Schwetlick — 2005
• Fujita type global existence: global nonexistence theorems for weakly coupled systems of reaction-diffusion equationsYoshitaka Uda — 1993
• Existence of bounded solutions on the real line for Liénard systemHaibin Xiao — 2003
• Stage-structured delayed reaction-diffusion model for competition between two speciesChunwei Wang — 2013
• Nonlinear and nonlocal diffusion equationsD. Stan — 2014
• Analyse mathématique de modèles de dynamique des populations : équations aux dérivées partielles paraboliques et équations intégro-différentiellesJ. Garnier — 2012
• Traveling Wave Solutions To The Allen-Cahn Equations With Fractional LaplaciansMingfeng Zhao — 2014
• Modeling, analysis, and numerical approximations of the forced Fisher's equation and related control problemsWenxiang Zhu — 2002
• Nearly Spherically Symmetric Expanding Fronts in a Bistable Reaction-Diffusion EquationHiroki Yagisita — 2001
• Remarks on the large time behaviour of a nonlinear diffusion equationOtared Kavian — 1987

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