In this paper, we have analyzed a mathematical model for the study of interaction between tumor cells and oncolytic viruses. The model is analyzed using stability theory of differential equations. We gain some conditions for global stability of trivial and interior equilibrium point.

the interaction of sodium n-dodecyl sulphate (sds) with histones in phosphate buffer ph 6.4 has been studied spectroscopically and by equilibrium dialysis. the enthalpies of interaction and the spectroscopic data suggest different structural stability for histones-sds interaction. the linear relation between enthaly and absorbtion was determined by the equation of m= , where m is the stability ...

In this paper, two sets of sufficient conditions are obtained to ensure the existence and stability of a unique equilibrium point of unforced first-order fuzzy relational dynamical systems by using two different approaches which are both based on the fuzzy relational matrix of the model.In the first approach, the equilibrium point of the system is one of the centers of the related membership fu...

This paper presents an alternative characterization of internal Cournot equilibrium based on the first-order conditions corresponding to profit maximization over prices. This characterization is particularly useful when the market is described in terms of demand functions (rather than inverse-demand functions). A significant computational advantage is gained in homogeneous good cases as demand ...

in this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation$$ x_{n+1}=frac{ax_n+x_{n-1}}{b+x_{n-1}}, n=0,1,cdots,$$ where $(x_n)$ is a sequence of positive fuzzy number, $a, b$ are positive fuzzy numbers and the initial conditions $x_{-1}, x_0$ are positive fuzzy numbers.

the aim of this work is to describe the qualitative behavior of the solution set of a givensystem of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. in order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. this is done by the extension of ...