A Game Theoretic Approach to Sustainizability Over Sets and its application to a multi-species population model
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917614433861632 |
|---|---|
| author | Manousiouthakis, Ioannis V. Manousiouthakis, Vasilios I. |
| author_facet | Manousiouthakis, Ioannis V. Manousiouthakis, Vasilios I. |
| contents | In this work, a theorem is first proved which presents a game theoretic formulation of a necessary and sufficient sustainizability over a set condition for a general system described by ordinary differential equations (ODEs). Then, two additional theorems are proved for the n-species Gause-Lotka-Volterra (GLV) population model, establishing necessary and sufficient sustainability and sustainizability conditions over rectangular sets. Three case studies on the May-Leonard, 3-species, GLV model are then presented to illustrate the power of the above Theorems. In two of these case studies (2 and 3), it is shown that a particular instance of the 3-species, GLV model is unsustainable but sustainizable through allowable action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08981 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Game Theoretic Approach to Sustainizability Over Sets and its application to a multi-species population model Manousiouthakis, Ioannis V. Manousiouthakis, Vasilios I. Optimization and Control Systems and Control Chaotic Dynamics In this work, a theorem is first proved which presents a game theoretic formulation of a necessary and sufficient sustainizability over a set condition for a general system described by ordinary differential equations (ODEs). Then, two additional theorems are proved for the n-species Gause-Lotka-Volterra (GLV) population model, establishing necessary and sufficient sustainability and sustainizability conditions over rectangular sets. Three case studies on the May-Leonard, 3-species, GLV model are then presented to illustrate the power of the above Theorems. In two of these case studies (2 and 3), it is shown that a particular instance of the 3-species, GLV model is unsustainable but sustainizable through allowable action. |
| title | A Game Theoretic Approach to Sustainizability Over Sets and its application to a multi-species population model |
| topic | Optimization and Control Systems and Control Chaotic Dynamics |
| url | https://arxiv.org/abs/2403.08981 |