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Impulse Effect on a Population Model with Piecewise Constant Argument

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Progress on Difference Equations and Discrete Dynamical Systems (ICDEA 2019)

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Abstract

We consider a population model with piecewise constant argument under impulse effect. First, we deal with the model with impulses. Sufficient conditions for the oscillation of the solutions are obtained. We also investigate asymptotic behavior of the non-oscillatory solutions. Then we obtain similar results for the same model without impulse effect. Finally, we compare the results with non-impulsive case and we give some examples to illustrate our results.

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Correspondence to Fatma KarakoƧ .

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KarakoƧ, F. (2020). Impulse Effect on a Population Model with Piecewise Constant Argument. In: Baigent, S., Bohner, M., Elaydi, S. (eds) Progress on Difference Equations and Discrete Dynamical Systems. ICDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 341. Springer, Cham. https://doi.org/10.1007/978-3-030-60107-2_13

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