Results 41 to 50 of about 148 (125)
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.
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European Journal of Applied MathematicsIn 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
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Modelling the evolutionary dynamics of insecticide quantitative resistance in mosquito populations
European Journal of Applied MathematicsMalaria 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 +4 more
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Advances in Nonlinear AnalysisIn 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
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Global dynamics and spatiotemporal heterogeneity of a preytaxis model with prey-induced acceleration
European Journal of Applied MathematicsConventional 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
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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
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European Journal of Applied MathematicsIn a smoothly bounded domain $\Omega \subset \mathbb{R}^n$ , $n\ge 1$ , this manuscript considers the homogeneous Neumann boundary problem for the chemotaxis system \begin{eqnarray*} \left \{ \begin{array}{l} u_t = \Delta u - \nabla \cdot (
Youshan Tao, Michael Winkler
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Advanced Nonlinear Studies, 2019 This paper studies a singular perturbation result for a class of generalized diffusive logistic equations, dℒu=uh(u,x){d\mathcal{L}u=uh(u,x)}, under non-classical mixed boundary conditions, ℬu=0{\mathcal{B}u=0} on ∂Ω{\partial\Omega}.
Fernández-Rincón Sergio +1 more
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European Journal of Applied MathematicsThe Cahn–Hilliard model with reaction terms can lead to situations in which no coarsening is taking place and, in contrast, growth and division of droplets occur which all do not grow larger than a certain size.
Harald Garcke +3 more
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The lingering phenomenon and pattern formation in a nonlocal population model with cognitive map
European Journal of Applied MathematicsThe rates at which individuals memorize and forget environmental information strongly influence their movement paths and long-term space use. To understand how these cognitive time scales shape population-level patterns, we propose and analyse a nonlocal
Kyung-Han Choi, Thomas Hillen
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