New Developments and Results for Mathematical Models in Environment Evaluations
A new mathematical model capable to provide a detailed evaluation of the ecological state of an environmental system is here presented. The mathematical model consists in a set of ordinary differential equations. The state variable of the system is the so-called Biological Territorial Capacity. The...
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| Veröffentlicht in: | Acta applicandae mathematicae 2014-08, Vol.132 (1), p.321-331 |
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| container_title | Acta applicandae mathematicae |
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| creator | Gobattoni, Federica Groppi, Maria Monaco, Roberto Pelorosso, Raffaele |
| description | A new mathematical model capable to provide a detailed evaluation of the ecological state of an environmental system is here presented. The mathematical model consists in a set of ordinary differential equations. The state variable of the system is the so-called Biological Territorial Capacity. The analysis is performed at the scale of each biotope that is the patch of land cover with homogeneous vegetation. Since the model consists in a very large number of ODE, in order to implement numerical computations with a fast algorithm, an approximated solution procedure is proposed. Finally a study case with comparisons between different designs and plans of the territory under investigation is performed. |
| doi_str_mv | 10.1007/s10440-014-9916-x |
| format | Article |
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| subjects | Algebra Algorithms Applications of Mathematics Applied mathematics Approximation Calculus of Variations and Optimal Control Optimization Computational Mathematics and Numerical Analysis Design engineering Differential equations Energy Evolution Land cover Land use Landscape ecology Mathematical models Mathematics Mathematics and Statistics Numerical analysis Ordinary differential equations Partial Differential Equations Probability Theory and Stochastic Processes Roads & highways State variable Studies Vegetation |
| title | New Developments and Results for Mathematical Models in Environment Evaluations |
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