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Modeling a Tumor Growth with Piecewise Constant Arguments [PDF]
Discrete Dynamics in Nature and Society, 2013 This study is based on an early brain tumor growth that is modeled as a hybrid system such as (A): , where the parameters , and denote positive numbers, and are negative numbers and is the integer part of .
F. Bozkurt
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Advanced impulsive differential equations with piecewise constant arguments
Mathematical Modelling and Analysis, 2010 We prove the existence and uniqueness of the solutions of a class of first order nonhomogeneous advanced impulsive differential equations with piecewise constant arguments.
Hüseyin Bereketoglu +2 more
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Stability Analysis of Partial Differential Equations with Piecewise Constant Arguments
Asia Pacific Journal of Mathematics, 2018 Summary: In this paper, the analytical stability of a partial differential equation with piecewise constant arguments is considered. By using the theory of separation of variables in matrix form and the Fourier method, the sufficient conditions under which the analytic solution is asymptotically stable are achieved.
Qi Wang, Ziting Liu
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A population model of two-strains tumors with piecewise constant arguments
Kuwait Journal of Science, 2015 In this study, the population growth of the brain tumor GBM, is constructed such as( )( ( ) ( [ ] )) ( ) ( [ ] ) ( ) ( [ ] )( )( ( ) ( [ ] )) ( [ ] ) ( ) [ ]1 1 1 2 1 12 2 1 2 1 2d = ( ) rx t R x t x t x t y t d x t x tdd =r y t R y t y t x t y t d y( ) (
FATMA BOZKURT, İLHAN OZTURK
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Chaos in a Three-Dimensional Cancer Model with Piecewise Constant Arguments
Cumhuriyet Science Journal, 2023 In this study, we analyze a cancer model which includes the interactions among tumor cells, healthy host cells and effector immune cells. The model with continuous case has been studied in the literature and it has been shown that it exhibits chaotic ...
Senol Kartal
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Linear Multistep Method for Advanced IDEs with Piecewise Constant Arguments
Journal of Mathematics, 2022 In this article, based on the linear multistep method, we combined the simplified reproducing kernel method (SRKM) with the optimization method to solve advanced IDEs with piecewise constant arguments.
Liangcai Mei, Boying Wu, Yingzhen Lin
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The Dynamics of a Discrete Fractional-Order Logistic Growth Model with Infectious Disease
Contemporary Mathematics and Applications (ConMathA), 2021 In this paper, we study the dynamics of a discrete fractional-order logistic growth model with infectious disease. We obtain the discrete model by applying the piecewise constant arguments to the fractional-order model.
Hasan S Panigoro, Emli Rahmi
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Oscillation of nonlinear impulsive differential equations with piecewise constant arguments
Electronic Journal of Qualitative Theory of Differential Equations, 2013 Existence and uniqueness of the solutions of a class of first order nonlinear impulsive differential equation with piecewise constant arguments is studied. Moreover, sufficient conditions for the oscillation of the solutions are obtained.
Fatma Karakoc +2 more
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Advances in Difference Equations, 2020 It is well known that differential equations with piecewise constant arguments is a class of functional differential equations, which has fascinated many scholars in recent years.
Zonghong Feng, Yong Wang, Xin Ma
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Stability analysis of a population model with piecewise constant arguments
Nonlinear Analysis: Real World Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ozturk, I., Bozkurt, F.
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