
arXiv: math/0601459
handle: 10613/3110
We introduce a delay nonlinear differential equation model which describes how fish are harvested. In our previous studies we investigated the persistence of that equation and existence of a periodic solution for this equation. Here we study the stability (local and global) of the periodic solutions of that equation.
7 pages
Delay differential equations, Population models, delay differential equations, Stability theory of functional-differential equations, Ecology, periodic environment, Applied Mathematics, Dynamical Systems (math.DS), Periodic solutions to functional-differential equations, Periodic environment, global and local stability, Qualitative investigation and simulation of models involving functional-differential equations, Population dynamics (general), Fishery, fishery, FOS: Mathematics, Global and local stability, Mathematics - Dynamical Systems, 34A37, 34D, 34K20, Fishes--Population viability analysis
Delay differential equations, Population models, delay differential equations, Stability theory of functional-differential equations, Ecology, periodic environment, Applied Mathematics, Dynamical Systems (math.DS), Periodic solutions to functional-differential equations, Periodic environment, global and local stability, Qualitative investigation and simulation of models involving functional-differential equations, Population dynamics (general), Fishery, fishery, FOS: Mathematics, Global and local stability, Mathematics - Dynamical Systems, 34A37, 34D, 34K20, Fishes--Population viability analysis
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