Effects of a Fluctuating Carrying Capacity on the Generalized Malthus-Verhulst Model
We consider a generalized Malthus-Verhulst model with a fluctuating carrying capacity and we study its effects on population growth. The carrying capacity fluctuations are described by a Poissonian process with an exponential correlation function. We will find an analytical expression for the averag...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/597012 |
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| author | Héctor Calisto Kristopher J. Chandía Mauro Bologna |
| author_facet | Héctor Calisto Kristopher J. Chandía Mauro Bologna |
| author_sort | Héctor Calisto |
| collection | DOAJ |
| description | We consider a generalized Malthus-Verhulst model with a fluctuating carrying capacity and we study its effects on population growth. The carrying capacity fluctuations are described by a Poissonian process with an exponential correlation function. We will find an analytical expression for the average of a number of individuals and show that even in presence of a fluctuating carrying capacity the average tends asymptotically to a constant quantity. |
| format | Article |
| id | doaj-art-b5f5d4b068f9443c9ba4331b0afecb6f |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-b5f5d4b068f9443c9ba4331b0afecb6f2025-08-20T02:23:20ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/597012597012Effects of a Fluctuating Carrying Capacity on the Generalized Malthus-Verhulst ModelHéctor Calisto0Kristopher J. Chandía1Mauro Bologna2Departamento de Física, Facultad de Ciencias, Universidad de Tarapacá, 1000000 Arica, ChileEscuela Universitaria de Ingeniería Eléctrica-Electrónica, Universidad de Tarapacá, 1000000 Arica, ChileInstituto de Alta Investigación IAI, Universidad de Tarapacá, 1000000 Arica, ChileWe consider a generalized Malthus-Verhulst model with a fluctuating carrying capacity and we study its effects on population growth. The carrying capacity fluctuations are described by a Poissonian process with an exponential correlation function. We will find an analytical expression for the average of a number of individuals and show that even in presence of a fluctuating carrying capacity the average tends asymptotically to a constant quantity.http://dx.doi.org/10.1155/2014/597012 |
| spellingShingle | Héctor Calisto Kristopher J. Chandía Mauro Bologna Effects of a Fluctuating Carrying Capacity on the Generalized Malthus-Verhulst Model Advances in Mathematical Physics |
| title | Effects of a Fluctuating Carrying Capacity on the Generalized Malthus-Verhulst Model |
| title_full | Effects of a Fluctuating Carrying Capacity on the Generalized Malthus-Verhulst Model |
| title_fullStr | Effects of a Fluctuating Carrying Capacity on the Generalized Malthus-Verhulst Model |
| title_full_unstemmed | Effects of a Fluctuating Carrying Capacity on the Generalized Malthus-Verhulst Model |
| title_short | Effects of a Fluctuating Carrying Capacity on the Generalized Malthus-Verhulst Model |
| title_sort | effects of a fluctuating carrying capacity on the generalized malthus verhulst model |
| url | http://dx.doi.org/10.1155/2014/597012 |
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