In this paper, we analyze the dynamical behavior of the delayed fractional-order tumor model with Caputo sense and discretized conformable fractional-order tumor model. The model is constituted with the group of nonlinear ...

The purpose of this study is to discuss dynamic behaviors of conformable fractional-order Lotka–Volterra predator–prey system. First of all, the piecewise constant approximation is used to obtain the discretize version of ...

The present study deals with the analysis of a Lotka-Volterra model describing competition between tumor and immune cells. The model consists of differential equations with piecewise constant arguments and based on ...

In this paper, conformable fractional order differential equations with piecewise constant arguments are used for a modeling population density of a bacteria species in a microcosm. The discretization process of a differential ...

In this paper, tumor-immune system interaction has been considered by two fractional order models. The first and the second model consist of system of fractional order differential equations with Caputo and conformable ...

Bu çalışmada, fark denklem sistemiyle oluşturulmuş bir ot-otçul matematiksel modeli göz önüne alınmıştır. Center Manifold teoremi kullanılarak sistemde Neimark Sacker çatallanmasının oluşması için gerekli olan özdeğer eşliği, ...

In this paper, we consider the turbidostat system with fractional delayed differential equations. Stability of the unique positive equilibrium point of the systems with and without delay are investigated. We prove the ...

In this study, we present a Lotka-Volterra predator-prey like model for the interaction dynamics of tumor-immune system. The model consists of system of differential equations with piecewise constant arguments and based ...

In this paper, a differential equation with piecewise constant arguments modeling an early brain tumor growth is considered. The discretization process in the interval t ∈ [n, n+1) leads to two-dimensional discrete ...

In this paper, we propose and analyze a Lotka–Volterra competition like model which consists of system of differential equations with piecewise constant arguments of delay to study of interaction between tumor cells and ...