Nonlocal Reaction-Diffusion Equations in Population Dynamics
This paper is dedicated to the memory of Narcisa Apreutesei Various problems in population dynamics are described by nonlocal reactiondiffusion equations, where the conventional logistic term for the reproduction rate is replaced by some integral expressions. The properties of such equations, inclu...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2019-11-01
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| Series: | Memoirs of the Scientific Sections of the Romanian Academy |
| Subjects: | |
| Online Access: | http://mss.academiaromana-is.ro/mem_sc_st_2019/5_Volpert%20MSS%202019.pdf |
| _version_ | 1811275186157125632 |
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| author | V. Volpert |
| author_facet | V. Volpert |
| author_sort | V. Volpert |
| collection | DOAJ |
| description | This paper is dedicated to the memory of Narcisa Apreutesei
Various problems in population dynamics are described by nonlocal reactiondiffusion equations, where the conventional logistic term for the reproduction rate is replaced by some integral expressions. The properties of such equations, including the existence and stability of solutions, appear to be quite different in comparison with conventional reaction-diffusion equations. In this work, we discuss some nonlocal reaction-diffusion equations and their properties. |
| first_indexed | 2024-04-12T23:33:33Z |
| format | Article |
| id | doaj.art-315d19cb51a9464e9e5f0437babfe7c3 |
| institution | Directory Open Access Journal |
| issn | 1224-1407 2343-7049 |
| language | English |
| last_indexed | 2024-04-12T23:33:33Z |
| publishDate | 2019-11-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Memoirs of the Scientific Sections of the Romanian Academy |
| spelling | doaj.art-315d19cb51a9464e9e5f0437babfe7c32022-12-22T03:12:12ZengPublishing House of the Romanian AcademyMemoirs of the Scientific Sections of the Romanian Academy1224-14072343-70492019-11-01XLII4758Nonlocal Reaction-Diffusion Equations in Population DynamicsV. Volpert0Institut “Camille Jordan”, University Lyon 1, Villeurbanne, France; INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, France; Peoples Friendship University of Russia (RUDN University), Moscow, RussiaThis paper is dedicated to the memory of Narcisa Apreutesei Various problems in population dynamics are described by nonlocal reactiondiffusion equations, where the conventional logistic term for the reproduction rate is replaced by some integral expressions. The properties of such equations, including the existence and stability of solutions, appear to be quite different in comparison with conventional reaction-diffusion equations. In this work, we discuss some nonlocal reaction-diffusion equations and their properties.http://mss.academiaromana-is.ro/mem_sc_st_2019/5_Volpert%20MSS%202019.pdfnonlocal reaction-diffusion equationspulseswaves |
| spellingShingle | V. Volpert Nonlocal Reaction-Diffusion Equations in Population Dynamics Memoirs of the Scientific Sections of the Romanian Academy nonlocal reaction-diffusion equations pulses waves |
| title | Nonlocal Reaction-Diffusion Equations in Population Dynamics |
| title_full | Nonlocal Reaction-Diffusion Equations in Population Dynamics |
| title_fullStr | Nonlocal Reaction-Diffusion Equations in Population Dynamics |
| title_full_unstemmed | Nonlocal Reaction-Diffusion Equations in Population Dynamics |
| title_short | Nonlocal Reaction-Diffusion Equations in Population Dynamics |
| title_sort | nonlocal reaction diffusion equations in population dynamics |
| topic | nonlocal reaction-diffusion equations pulses waves |
| url | http://mss.academiaromana-is.ro/mem_sc_st_2019/5_Volpert%20MSS%202019.pdf |
| work_keys_str_mv | AT vvolpert nonlocalreactiondiffusionequationsinpopulationdynamics |