Discrete Versus Continuous Controlled System
| Type | : | ACL |
|---|---|---|
| Nature | : | Production scientifique |
| Au bénéfice du Laboratoire | : | Oui |
| Statut de publication | : | Publié |
| Année de publication | : | 1998 |
| Auteurs (2) | : | BÉNÉ Christophe LOBRY Claude |
| Revue scientifique | : | Journal of Biological Systems |
| Volume | : | 6 |
| Fascicule | : | 2 |
| Pages | : | 127-157 |
| DOI | : | 10.1142/S0218339098000121 |
| URL | : | https://doi.org/10.1142/S0218339098000121 |
| Abstract | : | Because decision making processes involve costly mechanisms, they seldom are implemented continuously but instead take place at discrete time intervals. The question is then: what is the impact of this process discreteness on the systems dynamics? This problem is set here in the context of fisheries. Through a very simple though realistic model representing a shrimp fishery, we show that a discrete decision making process may lead to dynamics that differ completely from those obtained with a continuous process. For this purpose, we consider the interaction between a shrimp stock and the exploiting fleet. We then focus on the decision process that governs the allocation of the fleet fishing effort between the two stages of this stock: the young adults living near the coast and the mature adults located offshore. We first analyze the behaviour of the system when the discreteness in the decision making is not accounted for. In that case, the system turns out to be globally stable. We then identify the behaviour of the system when the decision process is discretised. In that case the solutions of the system yield sustained periodic oscillations. Our conclusion is that discreteness which is known to occur in decision making processes of most anthropic systems should be taken into account, especially in studies aiming precisely at investigating the dynamics of such systems. |
| Mots-clés | : | - |
| Commentaire | : | - |
| Tags | : | - |
| Fichier attaché | : | - |
| Citation | : |
Béné C, Lobry C (1998) Discrete Versus Continuous Controlled System. J Biol Syst 6: 127-157 | doi: 10.1142/S0218339098000121
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