Affiliation:
1. Dipartimento di Matematica “Giuseppe Peano”, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
Abstract
We propose a way of dealing with invasive species or pest control in agriculture. Ecosystems can be modeled via dynamical systems. For their study, it is necessary to establish their possible equilibria. Even a moderately complex system exhibits, in general, multiple steady states. Usually, they are related to each other through transcritical bifurcations, i.e., the system settles to a different equilibrium when some bifurcation parameter crosses a critical threshold. From a situation in which the pest is endemic, it is desirable to move to a pest-free point. The map of the system’s equilibria and their connections via transcritical bifurcations may indicate a path to attain the desired state. However, to force the parameters to cross the critical threshold, some human action is required, and this effort has a cost. The tools of dynamic programming allow the detection of the cheapest path to reach the desired goal. In this paper, an algorithm for the solution to this problem is illustrated.
Subject
Computational Mathematics,Computational Theory and Mathematics,Numerical Analysis,Theoretical Computer Science
Reference38 articles.
1. Murray, J.D. (1993). Mathematical Biology, Springer.
2. Chong, E.K.P., and Zak, S.H. (2013). An Introduction to Optimization, Wiley. [4th ed.].
3. Numerical dynamic programming in economics;Rust;Handb. Comput. Econ.,1996
4. On a routing problem;Bellman;Q. Appl. Math.,1958
5. Dreyfus, S.E., and Law, A.M. (1977). The Art of Dynamic Programming, Academic Press.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Dynamic Programming With Python;Advances in Systems Analysis, Software Engineering, and High Performance Computing;2023-06-30