Local stability of an open-access anchovy fishery model
In this paper, we study the qualitative behavior of following open-access anchovy fishery model:    c x p y y y x d ax x v n n n n v n b n n    , where   , , , , , , , p v d c b a and the initial conditions 0 0 , y x are positive real numbers. More precisely, we investigate the necessary and sufficient condition for local asymptotic stability of the unique positive equilibrium point of this system. Some numerical examples are given to verify our theoretical results.
The well-known Klein-Monti model of bank behavior considers a monopolistic bank. We demonstrate that this model’s results on the comparative static effects of a change in the exogenous interbank market interest rate do not necessarily hold in oligopolistic Cournot or Stackelberg generalizations. Introducing asymmetries in the cost functions of the banks, or in their way of conduct, may imply counterintuitive effects on the individual banks’ volumes of loans and deposits. Keywords: Bank behavior, Cournot oligopoly, Stackelberg oligopoly