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Fishery Model

Model Type
SES Library XPP model

This is a standard Gordon-Schaefer model that simulates a simple open-access fishery in discrete time. A fishery stock grows logistically and is harvested by humans. Fishers always exert too much effort and harvest fish at a level that is socially NOT optimal. This happens because fishers are driven to harvest until their net profit drops down to zero. A socially optimal level of harvesting effort is attained when marginal cost of harvesting effort and marginal revenue from harvesting become equal.

Reference

Clark, C. W. (1990). Mathematical bioeconomics: the optimal management of renewable resources (second edi.). New York: Wiley Interscience.

Default Dynamics
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$$S_{t+1} = S_t + r S_t (1-S_t) - q S_t E_t$$
$$E_{t+1} = E_t + E_t ( p q S_t - c )$$
fishery_model.ode
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