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Marko JusupiBww@w@j

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Integrating ontogeny, population dynamics, and social dilemmas into a mathematical framework for bioresource management

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Population dynamics is at the heart of almost every scientifically-based attempt to manage bioresources. Because of the complexity of the phenomena at the population level, such attempts rely on extremely simplifying assumptions regarding the ontogenetic development or the socio-economic interactions. For example, ontogeny is often represented by fitting length-at-age or fecundity-at-age curves to the data, resulting in statistical relationships that completely ignore the changing environment. Also, harvesting policies are commonly prescribed in terms of sustainable yields obtained from the population models, thus ignoring the self-interest of harvesters who pursue maximum short-term profits. By contrast, we focus on showing how the elements of physiological energetics, population dynamics, and game theory combine together into an integrative mathematical framework for bioresource management with which the problems beyond those arising from the population-level phenomena can be tackled. Having the framework in place, we discuss why more sophisticated models, rather than having better predictive power, actually highlight the gaps in knowledge that (should) lead to more nimble and, therefore, robust management strategies.

 

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Catherine Beauchemin@iRyerson Universityj

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Learning mathematical lessons from influenza infections:Reality is a tough teacher!

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In this presentation, I will discuss some of the interesting things we learned about mathematical modelling and the assumptions we make when creating models of virus infections. I will also discuss a series of modelling improvements we have considered over the years, including the addition of realistic delays for the time spent by a cell in a particular state, the consideration of cell co-infection by defective interfering virus, and the impact of the spatial environment of the infection on its spread through the respiratory tract and on its severity.