Results 1 to 10 of about 31,739 (303)

Persistence and Stability of a Food Chain Model with Mixed Selection of Functional Responses

Nonlinear Analysis, 2006
One approach to the study of an ecological community begins with an important object: its food web. Theoretical studies of food web must contend with the question of how to couple the large number of interacting species. One line of investigation assumes
A. Maiti, B. Patra, G. P. Samanta
doaj   +1 more source

Boundedness and long-time behavior in a parabolic-elliptic system arising from biological transport networks

Advances in Nonlinear Analysis
The aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of the ...
Li Bin
doaj   +1 more source

Investigating Prospective Mathematics Teachers’ Understanding of the Boundedness of Infinite Number Sets

Ankara Üniversitesi Eğitim Bilimleri Fakültesi Dergisi
In this study we aim to reveal the conceptions of preservice mathematics teachers regarding the boundedness of infinite number sets. The research is conducted with 51 teacher candidates attending to the Primary Mathematics Teaching program of a state ...
Tuba Sevyut, Yeter Şahiner
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Global boundedness in a quasilinear predator–prey chemotaxis system with nonlinear indirect signal production

Electronic Journal of Qualitative Theory of Differential Equations
This paper deals with the quasilinear predator–prey chemotaxis system with nonlinear indirect signal production under homogeneous Neumann boundary conditions.
Zhangsheng Zhu
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Essential Norm of Generalized Integral-Type Operator from the Fractional Cauchy Transform Space into Weighted Bloch and Dirichlet Spaces

Axioms
In this paper, we investigate the generalized integral-type operator acting between the fractional Cauchy transform space and two classical analytic function spaces: the weighted Bloch space and the weighted Dirichlet space.
Mostafa Hassanlou, Ebrahim Abbasi, Maryam G. Alshehri   +2 more
doaj   +1 more source

Critical mass for a no-flux-Dirichlet chemotaxis model with indirect signal production mechanism

Advances in Nonlinear Analysis
In this paper, we investigate the no-flux-Dirichlet parabolic–elliptic–ODE system with indirect signal production mechanismut*=Δu*−∇⋅u*∇v*,x∈Ω,t>0,0=Δv*−kv*+w*,x∈Ω,t>0,τ*wt*=−δw*+u*,x∈Ω,t>0,∂u*∂ν−u*∂v*∂ν=v*=0,x∈∂Ω,t>0,u*(x,0)=u0*(x),w*(x,0)=w0*(x),x∈Ω, $$
Yang Lan
doaj   +1 more source

Convergence of solutions of fractional differential equations to power-type functions

Electronic Journal of Differential Equations, 2020
In this article we study the asymptotic behavior of solutions of some fractional differential equations. We prove convergence to power type functions under some assumptions on the nonlinearities.
Mohammed Dahan Kassim, Nasser Eddine Tatar   +1 more
doaj  

A note on the global existence and boundedness of an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction

Open Mathematics
We investigate the two-species chemotaxis predator-prey system given by the following system: ut=Δu−χ∇⋅(u∇w)+u(λ1−μ1ur1−1+av),x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+v(λ2−μ2vr2−1−bu),x∈Ω,t>0,0=Δw−w+v,x∈Ω,t>0,0=Δz−z+u,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta u-\chi \
Liu Ling
doaj   +1 more source

Population coding under the scale invariance of high-dimensional noise. [PDF]

Sci Adv
Moosavi SA, Hindupur SSR, Shimazaki H.
europepmc   +1 more source

A vibration control method for chatter mitigation in milling process based on sliding mode control and reinforcement learning. [PDF]

Sci Rep
Paul S.
europepmc   +1 more source