Linearized oscillations in population dynamics
Copyright policy )Linearized oscillations in population dynamics
A linearized oscillation theorem due to the authors and \textit{A. Meimaridou} [Q. Appl. Math. 45, 155-164 (1987; Zbl 0627.34076)] and an extension of it are applied to obtain the oscillation of solutions of several equations which have appeared in population dynamics. They include the logistic equation with several delays, Nicholson's blowflies model as described by \textit{W. S. C. Gurney}, \textit{S. P. Blythe} and \textit{R. M. Nisbet} [Nature, Lond. 287, 17-21 (1980)] and the Lasota-Wazewska model of red blood cell supply in an animal. We also developed a linearized oscillation result for difference equations and applied it to several equations taken from the biological literature.
- University of Sarajevo Bosnia and Herzegovina
- University of Rhode Island United States
Nicholson's blowflies model, Biometry, Erythrocytes, Stability theory of functional-differential equations, linearized oscillation theorem, Population Dynamics, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Models, Theoretical, 510, Population dynamics (general), Functional-differential equations (including equations with delayed, advanced or state-dependent argument), delay differential equation, Animals, Lasota-Wazewska model of red blood cell supply, logistic equation, Additive difference equations
Nicholson's blowflies model, Biometry, Erythrocytes, Stability theory of functional-differential equations, linearized oscillation theorem, Population Dynamics, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Models, Theoretical, 510, Population dynamics (general), Functional-differential equations (including equations with delayed, advanced or state-dependent argument), delay differential equation, Animals, Lasota-Wazewska model of red blood cell supply, logistic equation, Additive difference equations
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