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Address: San José, San José, Costa Rica

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Papers by Tomas de Camino

Research paper thumbnail of A graph-theoretic method for the basic reproduction number in continuous time epidemiological models

Journal of Mathematical Biology, 2009

In epidemiological models of infectious diseases the basic reproduction number mathcalR_0{\mathcal{R}_0}mathcalR0 ... more In epidemiological models of infectious diseases the basic reproduction number mathcalR0{\mathcal{R}_0}mathcalR0 is used as a threshold parameter to determine the threshold between disease extinction and outbreak. A graph-theoretic form of Gaussian elimination using digraph reduction is derived and an algorithm given for calculating the basic reproduction number in continuous time epidemiological models. Examples illustrate how this method can be applied to compartmental models of infectious diseases modelled by a system of ordinary differential equations. We also show with these examples how lower bounds for mathcalR0{\mathcal{R}_0}mathcalR_0 can be obtained from the digraphs in the reduction process.

Research paper thumbnail of A new method for calculating net reproductive rate from graph reduction with applications to the control of invasive species

Bulletin of Mathematical Biology, 2007

Matrix models are widely used for demographic analysis of age and stage structured biological pop... more Matrix models are widely used for demographic analysis of age and stage structured biological populations. Dynamic properties of the model can be summarized by the net reproductive rate R 0 . In this paper, we introduce a new method to calculate and analyze the net reproductive rate directly from the life cycle graph of the matrix. We show, with examples, how our method of analysis of R 0 can be used in the design of strategies for controlling invasive species.

Research paper thumbnail of Water Resources and Regional Land Cover Change in Costa Rica: Impacts and Economics

Water Resources and Regional Land Cover Change in Costa Rica: Impacts and Economics

International Journal of Water Resources Development, 2002

This paper evaluates the relationships between sediment production, economic losses and land cove... more This paper evaluates the relationships between sediment production, economic losses and land cover change in Costa Rica. Results suggest that the relationship between sediment production and the deterioration of land resources in Costa Rica is less understood than ...

Research paper thumbnail of A graph-theoretic method for the basic reproduction number in continuous time epidemiological models

Journal of Mathematical Biology, 2009

In epidemiological models of infectious diseases the basic reproduction number mathcalR_0{\mathcal{R}_0}mathcalR0 ... more In epidemiological models of infectious diseases the basic reproduction number mathcalR0{\mathcal{R}_0}mathcalR0 is used as a threshold parameter to determine the threshold between disease extinction and outbreak. A graph-theoretic form of Gaussian elimination using digraph reduction is derived and an algorithm given for calculating the basic reproduction number in continuous time epidemiological models. Examples illustrate how this method can be applied to compartmental models of infectious diseases modelled by a system of ordinary differential equations. We also show with these examples how lower bounds for mathcalR0{\mathcal{R}_0}mathcalR_0 can be obtained from the digraphs in the reduction process.

Research paper thumbnail of A new method for calculating net reproductive rate from graph reduction with applications to the control of invasive species

Bulletin of Mathematical Biology, 2007

Matrix models are widely used for demographic analysis of age and stage structured biological pop... more Matrix models are widely used for demographic analysis of age and stage structured biological populations. Dynamic properties of the model can be summarized by the net reproductive rate R 0 . In this paper, we introduce a new method to calculate and analyze the net reproductive rate directly from the life cycle graph of the matrix. We show, with examples, how our method of analysis of R 0 can be used in the design of strategies for controlling invasive species.

Research paper thumbnail of Water Resources and Regional Land Cover Change in Costa Rica: Impacts and Economics

Water Resources and Regional Land Cover Change in Costa Rica: Impacts and Economics

International Journal of Water Resources Development, 2002

This paper evaluates the relationships between sediment production, economic losses and land cove... more This paper evaluates the relationships between sediment production, economic losses and land cover change in Costa Rica. Results suggest that the relationship between sediment production and the deterioration of land resources in Costa Rica is less understood than ...

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