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Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate
  • Evren Hincal,
  • Bilgen Kaymakamzade,
  • A. Ashyralyev
Evren Hincal
Near East University
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Bilgen Kaymakamzade
Near East University
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A. Ashyralyev
Near East University
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Abstract

Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate is investigated. The theorem on the existence and uniqueness of a bounded solution of Crank- Nicholson difference scheme uniformly with respect to time step is established. Applications of the theoretical results are presented for the four systems of one and multidimensio