The following fully nonlinear attraction–repulsion and zero-flux chemotaxis model is studied: (♢)ut=∇⋅(u+1)m1−1∇u−χu(u+1)m2−1∇v+ξu(u+1)m3−1∇w+λu−μurinΩ×(0,Tmax),τvt=Δv−ϕ(t,v)+f(u)inΩ×(0,Tmax),τwt=Δw−ψ(t,w)+g(u)inΩ×(0,Tmax).Herein, Ω a bounded smooth domain of Rn, for n∈N, χ,ξ,λ,μ,r proper positive numbers, m1,m2,m3∈R, f(u) g(u) regular functions that generalize the prototypes f(u)≃uk g(u)≃ul, some k,l>0 all u≥0. Moreover, τ∈{0,1}, Tmax∈(0,∞] maximal interval existence solutions to model....

Abstract This paper deals with unbounded solutions to a class of chemotaxis systems. In particular, for rather general attraction–repulsion model, nonlinear productions, diffusion, sensitivities, and logistic term, we detect Lebesgue spaces where given also blow up in the corresponding norms those spaces; subsequently, estimates blow‐up time are established. Finally, simplified version some criteria proved. More precisely, analyze zero‐flux system essentially described as The problem is...

We study a chemotaxis-consumption mechanism, in which some chemical signal and cells density interact each other. In order to control the concentration of such population, sources involving gradient nonlinearities, introduce dampening effect on model, are considered. Moreover, system is characterized by nonlinear diffusion sensitivity terms. derive conditions data problem so ensure boundedness related solutions.

This paper investigates the properties of classical solutions to a class chemotaxis systems that model interactions between tumor and immune cells. Our focus is on examining global existence explosion such in bounded domains $\mathbb{R}^n$, $n\geq3$, under Neumann boundary conditions. We distinguish two scenarios: one where all equations are parabolic another only equation while rest elliptic. Boundedness demonstrated smallness assumptions initial data former scenario, no constraints...

We study some attraction repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of cell density, and chemosensitivities production rates chemoattractant chemorepellent. Additionally, a source also involving expression gradient species is incorporated.

This work deals with the consumption chemotaxis problem \begin{equation*} \begin{cases*} u_t = \Delta u - \chi \nabla \cdot u\nabla v + \lambda \mu u^2 c \lvert \rvert^\gamma, & \text{in $\Omega\times(0,\tmax)$}, v_t uv, \end{cases*} \end{equation*} in a bounded and smooth domain $\Omega\subset\R^n$, $n\geq 3$, under Neumann boundary conditions, for $\chi,\lambda,\mu,c>0$, $\tmax\in(0,\infty]$ $u_0,v_0$ positive initial data certain regularity. We will show that has unique uniformly...

Abstract This article looks at the existentialist nature of Ghāda al-Sammān’s early short stories, with a particular focus on her very first collection, Aynāka qadarī (Your eyes are my destiny), published in 1962. al-Sammān was born Syria and widely celebrated for novelistic career: this gives centrality to two stories as they present narratives that intricately weave individual collective struggles within context Algerian war independence. Analysing interplay between overarching Arab...

Abstract Through a small-scale interview study with Syrians Swedish citizenship who have either relocated to, or are regularly visiting, the UK, this article sheds light on nexus between mobility and bottom-up practices of refugees in Europe. We mobilize twin concepts ‘affective’ ‘instrumental’ to highlight how refugees’ quest for belonging safety challenges usual assumptions about displacement: first, our data defy push-pull models migration, showing that quick access naturalization...

This paper deals with unbounded solutions to a class of chemotaxis systems. In particular, for rather general attraction-repulsion model, nonlinear productions, diffusion, sensitivities and logistic term, we detect Lebesgue spaces where given blow-up also in the corresponding norms those spaces; subsequently, estimates time are established. Finally, simplified version some criteria proved.

Since the early 2000s Arabic has become an increasingly popular language at academic level across Europe and North America, with high numbers of students enrolling on a variety programmes offering Modern Standard – as well local varieties Arabic, commonly known ‘āmmiyya target (Dickins Watson 2006, 108; Ryding 13; Mohamed 2021b, 59). The demand for this resulted in unprecedented progress learning materials available both teachers learners. Such developments have largely taken place United...

This article deals with a class of chemotaxis systems describing mechanisms from mathematical biology. In the specific, for rather general attraction-repulsion models, nonlinear productions, diffusion, sensitivities and logistic term, we are interested in deriving interplays on parameters involved problem capable to ensure globality boundedness related solutions. project is precisely contextualized frame series results dealing local nonlocal, linear nonlinear, systems. For these problems,...

We study some zero-flux attraction-repulsion chemotaxis models, with nonlinear production rates for the chemorepellent and chemoattractant. This paper partially improves known results in literature moreover solves an open question. The research is also complemented numerical simulations bi-dimensional domains.