An Ecosystem with HTII Response and Predators’ Genetic Variability
A new model to investigate environmental effects of genetically distinguishable predators is presented. The Holling type II response function, modelling feeding satiation, leads to persistent system's oscillations, as in classical population models. An almost complete classification of the case...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2014-06-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/3300 |
| _version_ | 1818887720010776576 |
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| author | Clara Viberti Ezio Venturino |
| author_facet | Clara Viberti Ezio Venturino |
| author_sort | Clara Viberti |
| collection | DOAJ |
| description | A new model to investigate environmental effects of genetically distinguishable predators is presented. The Holling type II response function, modelling feeding satiation, leads to persistent system's oscillations, as in classical population models. An almost complete classification of the cases arising in the Routh–Hurwitz stability conditions mathematically characterizes the paper. It is instrumental as a guideline in the numerical experiments leading to the findings on the limit cycles. This result extends what found in an earlier parallel investigation containing a standard bilinear response function. |
| first_indexed | 2024-12-19T16:41:42Z |
| format | Article |
| id | doaj.art-c733f4f1e88a445a937e62e1f0f3a270 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-19T16:41:42Z |
| publishDate | 2014-06-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-c733f4f1e88a445a937e62e1f0f3a2702022-12-21T20:13:47ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102014-06-0119310.3846/13926292.2014.925518An Ecosystem with HTII Response and Predators’ Genetic VariabilityClara Viberti0Ezio Venturino1Universita di Torino, Dipartimento di Matematica \Giuseppe Peano" via Carlo Alberto 10, 10123 Torino, ItalyUniversita di Torino, Dipartimento di Matematica \Giuseppe Peano" via Carlo Alberto 10, 10123 Torino, ItalyA new model to investigate environmental effects of genetically distinguishable predators is presented. The Holling type II response function, modelling feeding satiation, leads to persistent system's oscillations, as in classical population models. An almost complete classification of the cases arising in the Routh–Hurwitz stability conditions mathematically characterizes the paper. It is instrumental as a guideline in the numerical experiments leading to the findings on the limit cycles. This result extends what found in an earlier parallel investigation containing a standard bilinear response function.https://journals.vgtu.lt/index.php/MMA/article/view/3300mathematical ecogeneticsgenotypegeneticsecoepidemicspredator-prey |
| spellingShingle | Clara Viberti Ezio Venturino An Ecosystem with HTII Response and Predators’ Genetic Variability Mathematical Modelling and Analysis mathematical ecogenetics genotype genetics ecoepidemics predator-prey |
| title | An Ecosystem with HTII Response and Predators’ Genetic Variability |
| title_full | An Ecosystem with HTII Response and Predators’ Genetic Variability |
| title_fullStr | An Ecosystem with HTII Response and Predators’ Genetic Variability |
| title_full_unstemmed | An Ecosystem with HTII Response and Predators’ Genetic Variability |
| title_short | An Ecosystem with HTII Response and Predators’ Genetic Variability |
| title_sort | ecosystem with htii response and predators genetic variability |
| topic | mathematical ecogenetics genotype genetics ecoepidemics predator-prey |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/3300 |
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