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A New Mathematical Model for Environmental Monitoring and Assessment

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From Particle Systems to Partial Differential Equations (PSPDE 2015)

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Abstract

In this paper we are concerned with a quantitative method of Landscape Ecology. More in details we consider an environmental system distributed in landscape units (ecological sectors) and we propose a new mathematical model in order to implement a method for the evaluation of the ecological state of the system under investigation. After having performed a stability analysis of the model, we apply the proposed procedure first by considering separately each landscape unit and then extending our investigation to the system as a whole, by taking into account the connections between all the landscape units themselves. Our investigation includes some numerical computations that were performed for a Northern district of the Turin Province, using an approximation procedure that should avoid stiffness problems.

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Acknowledgements

The present research has been partially supported by Portuguese Funds FCT Project UID/MAT/00013/2013, and by the National Group GNFM of INdAM. One of the Authors (AJS) thanks this institution for the financial support given in her visiting professor program in Italy.

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Correspondence to Ana Jacinta Soares .

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Monaco, R., Soares, A.J. (2017). A New Mathematical Model for Environmental Monitoring and Assessment. In: Gonçalves, P., Soares, A. (eds) From Particle Systems to Partial Differential Equations. PSPDE 2015. Springer Proceedings in Mathematics & Statistics, vol 209. Springer, Cham. https://doi.org/10.1007/978-3-319-66839-0_13

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