Results 31 to 40 of about 137 (117)

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

Spatio-temporal behaviour of SIR models with cross-diffusion and vital dynamics

European Journal of Applied Mathematics
Contemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements.
Maryam Ahmadpoortorkamani, Alexei Cheviakov   +1 more
doaj   +1 more source

Global well-posedness and Turing–Hopf bifurcation of prey-taxis systems with hunting cooperation

European Journal of Applied Mathematics
This paper is concerned with a predator–prey system with hunting cooperation and prey-taxis under homogeneous Neumann boundary conditions. We establish the existence of globally bounded solutions in two dimensions.
Weirun Tao, Zhi-An Wang
doaj   +1 more source

Stationary solutions and asymptotic behaviour for a nonlinear free-boundary tumour model with three layers

European Journal of Applied Mathematics
In this paper, we study a nonlinear free boundary problem modelling the growth of radially symmetric tumours. The tumour consists of a central necrotic core, an intermediate quiescent layer and an outer proliferating shell. The evolution of tumour layers
Junde Wu, Hao Xu, Yuehong Zhuang
doaj   +1 more source

Modelling the evolutionary dynamics of insecticide quantitative resistance in mosquito populations

European Journal of Applied Mathematics
Malaria remains a significant global health challenge, with sub-Saharan Africa bearing the majority of the burden. While vector control measures such as pyrethroid-based insecticidal nets and indoor residual spraying have significantly reduced malaria ...
Sylvère Kezeta-Bondja, Martin L. Mann-Manyombe, Jean-Jules Tewa, Charles S. Wondji, Ramsès Djidjou-Demasse   +4 more
doaj   +1 more source

Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity

Advances in Nonlinear Analysis
In this study, we investigate the two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity: ut=∇⋅(uθ−1∇u)−χ∇⋅uv∇v,x∈Ω,t>0,vt=Δv−v+u+g(x,t),x∈Ω,t>0,(∗)\left\{\begin{array}{ll}{u}_{t}=\nabla \cdot \left({u}^{\theta -1}\nabla u ...
Ren Guoqiang, Zhou Xing
doaj   +1 more source

Global dynamics and spatiotemporal heterogeneity of a preytaxis model with prey-induced acceleration

European Journal of Applied Mathematics
Conventional preytaxis systems assume that prey-tactic velocity is proportional to the prey density gradient. However, many experiments exploring the predator–prey interactions show that it is the predator’s acceleration instead of velocity that is ...
Chunlai Mu, Weirun Tao, Zhi-An Wang
doaj   +1 more source

Coupled Versus Uncoupled Blow-Up Rates in Cooperative n-Species Logistic Systems

Advanced Nonlinear Studies, 2017
This paper ascertains the exact boundary blow-up rates of the large positive solutions of a class of cooperative logistic systems involving n species in a general domain of ℝN{\mathbb{R}^{N}} of class 𝒞2+ν{\mathcal{C}^{2+\nu ...
López-Gómez Julián, Maire Luis
doaj   +1 more source

Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]

Heliyon, 2023
Akter S, Islam MS, Hossain T.
europepmc   +1 more source

The Singular Perturbation Problem for a Class of Generalized Logistic Equations Under Non-classical Mixed Boundary Conditions

Advanced Nonlinear Studies, 2019
This paper studies a singular perturbation result for a class of generalized diffusive logistic equations, d⁢ℒ⁢u=u⁢h⁢(u,x){d\mathcal{L}u=uh(u,x)}, under non-classical mixed boundary conditions, ℬ⁢u=0{\mathcal{B}u=0} on ∂⁡Ω{\partial\Omega}.
Fernández-Rincón Sergio, López-Gómez Julián   +1 more
doaj   +1 more source