Journal article

Optimal spatiotemporal effort allocation for invasive species removal incorporating a removal handling time and budget

Christopher M Baker, Fasma Diele, Carmela Marangi, Angela Martiradonna, Stefania Ragni



Improving strategies for the control and eradication of invasive species is an important aspect of nature conservation, an aspect where mathematical modeling and optimization play an important role. In this paper, we introduce a reaction-diffusion partial differential equation to model the spatiotemporal dynamics of an invasive species, and we use optimal control theory to solve for optimal management, while implementing a budget constraint. We perform an analytical study of the model properties, including the well-posedness of the problem. We apply this to two hypothetical but realistic problems involving plant and animal invasive species. This allows us to determine the optimal space and t..

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University of Melbourne Researchers


Awarded by European Union

Funding Acknowledgements

This study has been carried out within the H2020 project "ECOPOTENTIAL: Improving Future Ecosystem Benefits Through Earth Observations," coordinated by CNR-IGG ( project has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No. 641762. Christopher M. Baker is the recipient of a John Stocker Fellowship from the Science and Industry Endowment Fund.