The physical dimensions and biological meaning of the coefficients in the Volterra competition equations and their consequences for the possibility of coexistence
Exact definitions in physical and biological terms of the coefficients in Volterra's (1926, 1931) original competition equations are indispensable for the understanding of the system. In agreement with Volterra's own, but not quite sufficient specifications, it is tried in this paper to give more pr...
| Autor principal: | Walker, Ilse |
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| Grau: | Artigo |
| Idioma: | English |
| Publicado em: |
Acta Biotheoretica
2020
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| Acesso em linha: |
https://repositorio.inpa.gov.br/handle/1/19701 |
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oai:repositorio:1-19701 |
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oai:repositorio:1-19701 The physical dimensions and biological meaning of the coefficients in the Volterra competition equations and their consequences for the possibility of coexistence Walker, Ilse Animals Appetite Biological Model Human Mathematics Population Population Dynamics Predation Animals Appetitive Behavior Human Mathematics Models, Biological Population Population Dynamics Predatory Behavior Exact definitions in physical and biological terms of the coefficients in Volterra's (1926, 1931) original competition equations are indispensable for the understanding of the system. In agreement with Volterra's own, but not quite sufficient specifications, it is tried in this paper to give more precise definitions of the parameters used by Volterra. This leads to some consequences; i.a. that there does not exist a "principle of competitive exclusion". In order to allow for competitive exclusion - or for stabilization - the Volterra equations need additional biophysical specifications and mathematical modifications. Some such modifications are proposed, for instance for aggressive interference as a function of population numbers. © 1983 Martinus Nijhoff/Dr W. Junk Publishers. 2020-06-15T22:11:46Z 2020-06-15T22:11:46Z 1983 Artigo https://repositorio.inpa.gov.br/handle/1/19701 10.1007/BF02045063 en Volume 32, Número 2, Pags. 93-122 Restrito Acta Biotheoretica |
| institution |
Instituto Nacional de Pesquisas da Amazônia - Repositório Institucional |
| collection |
INPA-RI |
| language |
English |
| topic |
Animals Appetite Biological Model Human Mathematics Population Population Dynamics Predation Animals Appetitive Behavior Human Mathematics Models, Biological Population Population Dynamics Predatory Behavior |
| spellingShingle |
Animals Appetite Biological Model Human Mathematics Population Population Dynamics Predation Animals Appetitive Behavior Human Mathematics Models, Biological Population Population Dynamics Predatory Behavior Walker, Ilse The physical dimensions and biological meaning of the coefficients in the Volterra competition equations and their consequences for the possibility of coexistence |
| topic_facet |
Animals Appetite Biological Model Human Mathematics Population Population Dynamics Predation Animals Appetitive Behavior Human Mathematics Models, Biological Population Population Dynamics Predatory Behavior |
| description |
Exact definitions in physical and biological terms of the coefficients in Volterra's (1926, 1931) original competition equations are indispensable for the understanding of the system. In agreement with Volterra's own, but not quite sufficient specifications, it is tried in this paper to give more precise definitions of the parameters used by Volterra. This leads to some consequences; i.a. that there does not exist a "principle of competitive exclusion". In order to allow for competitive exclusion - or for stabilization - the Volterra equations need additional biophysical specifications and mathematical modifications. Some such modifications are proposed, for instance for aggressive interference as a function of population numbers. © 1983 Martinus Nijhoff/Dr W. Junk Publishers. |
| format |
Artigo |
| author |
Walker, Ilse |
| title |
The physical dimensions and biological meaning of the coefficients in the Volterra competition equations and their consequences for the possibility of coexistence |
| title_short |
The physical dimensions and biological meaning of the coefficients in the Volterra competition equations and their consequences for the possibility of coexistence |
| title_full |
The physical dimensions and biological meaning of the coefficients in the Volterra competition equations and their consequences for the possibility of coexistence |
| title_fullStr |
The physical dimensions and biological meaning of the coefficients in the Volterra competition equations and their consequences for the possibility of coexistence |
| title_full_unstemmed |
The physical dimensions and biological meaning of the coefficients in the Volterra competition equations and their consequences for the possibility of coexistence |
| title_sort |
physical dimensions and biological meaning of the coefficients in the volterra competition equations and their consequences for the possibility of coexistence |
| publisher |
Acta Biotheoretica |
| publishDate |
2020 |
| url |
https://repositorio.inpa.gov.br/handle/1/19701 |
| _version_ |
1787144564082999296 |
| score |
11.755432 |