Sufficiency Conditions for Finite Escape Times in Systems of Quadratic Differential Equations
نویسندگان
چکیده
Sufficient conditions are derived for solutions of a general autonomous system of quad-ratic ordinary vector differential equations to exhibit finite escape times. These results are extended to a matrix Riccati-type differential equation using Kronecker matrix products and a "stacking operator". Finally, these results are applied to a class of models used extensively in population dynamics.
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