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This paper is concerned with the existence of positive solution to a class of singular fourth order elliptic equation of Kirchhoff type $$\begin{aligned} \triangle ^2 u-\lambda M(\Vert \nabla u\Vert ^2)\triangle u-\frac{\mu }{\vert x\vert ^4}u=\frac{h(x)}{u^\gamma }+k(x)u^\alpha , \end{aligned}$$ ▵ 2 u - λ M ( ‖ ∇ u ‖ 2 ) ▵ u - μ | x | 4 u = h ( x ) u γ + k ( x ) ...
A model of viral infection of monocytes population by the dengue virus is formulated as a system of four ordinary differential equations. The model takes into account the immune response and nonlinear incidence rate of susceptible and free virus particles. Global stability of the uninfected steady state is investigated. Such a steady state always exists. If it is the only steady state,...
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