Boundedness and asymptotic behavior in a quasilinear two-species chemotaxis system with loop

Asymptotic behavior of a system of two difference equations of exponential form

In this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium $E=(bar{x}, bar{y})$ of the system of two difference equations of exponential form: begin{equation*} x_{n+1}=dfrac{a+e^{-(bx_n+cy_n)}}{d+bx_n+cy_n}, y_{n+1}=dfrac{a+e^{-(by_n+cx_n)}}{d+...

Asymptotic Behavior of Ground States of Quasilinear Elliptic Problems with Two Vanishing Parameters

– We study the asymptotic behavior of the radially symmetric ground state solution of a quasilinear elliptic equation involving the m-Laplacian. The case of two vanishing parameters is considered: we show that these two parameters have opposite effects on the asymptotic behavior. Moreover the results highlight a suprising phenomenon: different asymptotic are obtained according to whether n > m2...

Oscillatory and Asymptotic Behavior of Fourth order Quasilinear Difference Equations

where ∆ is the forward difference operator defined by ∆xn = xn+1 −xn, α and β are positive constants, {pn} and {qn} are positive real sequences defined for all n ∈ N(n0) = {n0, n0 + 1, ...}, and n0 a nonnegative integer. By a solution of equation (1), we mean a real sequence {xn} that satisfies equation (1) for all n ∈ N(n0). If any four consecutive values of {xn} are given, then a solution {xn...

synthesis of platinum nanostructures in two phase system

چکیده پلاتین، فلزی نجیب، پایدار و گران قیمت با خاصیت کاتالیزوری زیاد است که کاربرد های صنعتی فراوانی دارد. کمپلکس های پلاتین(ii) به عنوان دارو های ضد سرطان شناخته شدند و در شیمی درمانی بیماران سرطانی کاربرد دارند. خاصیت کاتالیزوری و عملکرد گزینشی پلاتین مستقیماً به اندازه و- شکل ماده ی پلاتینی بستگی دارد. بعضی از نانو ذرات فلزی در سطح مشترک مایع- مایع سنتز شده اند، اما نانو ساختار های پلاتین ب...

Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion