Predation-induced dispersal toward fitness for predator invasion in predator–prey models
Journal of Biological Dynamics, 2023 In this paper, we consider a predator–prey model with nonuniform predator dispersal, called predation-induced dispersal (PID), which represents predator motility depending on the maximal predation rate and the predator death rate in a spatially ...
Wonhyung Choi +2 more
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Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators
Fractal and Fractional, 2022 The investigation of global bifurcation behaviors the vibrating structures of micro-electromechanical systems (MEMS) has received substantial attention. This paper considers the vibrating system of a typical bilateral MEMS resonator containing fractional
Yijun Zhu, Huilin Shang
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Global Dynamic Analysis of a Typical Bistable Piezoelectric Cantilever Energy Harvesting System
Fractal and Fractional, 2023 This paper focuses on global dynamic behaviors of a bistable piezoelectric cantilever energy harvester with a tip magnet and a single external permanent magnet at the near side.
Diandian Cui, Huilin Shang
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Existence and uniqueness of positive solutions for Kirchhoff type beam equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 This paper is concerned with the existence and uniqueness of positive solutions for the fourth order Kirchhoff type problem \begin{equation*} \begin{cases} u''''(x)-\Big(a+b\int_0^1(u'(x))^2dx\Big)u''(x)=\lambda f(u(x)),& x\in(0,1),\\ u(0)=u(1)=u''(0)=u''
Jinxiang Wang
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Qualitative properties and global bifurcation of solutions for a singular boundary value problem
Electronic Journal of Qualitative Theory of Differential Equations, 2020 This paper deals with a singular, nonlinear Sturm–Liouville problem of the form $\{A(x)u'(x)\}'+\lambda u(x)=f(x,u(x),u'(x))$ on $(0,1)$ where $A$ is positive on $(0,1]$ but decays quadratically to zero as $x$ approaches zero. This is the lowest level of
Charles Stuart
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Complexity, 2021 In this paper, we investigate a predator-prey system with Beddington–DeAngelis (B-D) functional response in a spatially degenerate heterogeneous environment.
Xiaozhou Feng +3 more
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Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis
Advanced Nonlinear Studies, 2023 This article is concerned with the stationary problem for a prey-predator model with prey-taxis/predator-taxis under homogeneous Dirichlet boundary conditions, where the interaction is governed by a Beddington-DeAngelis functional response.
Li Shanbing, Wu Jianhua
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Global Dynamics of the Vibrating System of a Tristable Piezoelectric Energy Harvester
Mathematics, 2022 Global dynamics of a piezoelectric energy harvester with tristable potential is investigated. The dynamical model of a cantilever beam energy harvester is considered; its static bifurcation is also discussed.
Yijun Zhu, Huilin Shang
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Pattern formation of a Schnakenberg-type plant root hair initiation model
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper concentrates on the diversity of patterns in a quite general Schnakenberg-type model. We discuss existence and nonexistence of nonconstant positive steady state solutions as well as their bounds.
Yanqiu Li, Juncheng Jiang
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Precise Asymptotics for Bifurcation Curve of Nonlinear Ordinary Differential Equation
Mathematics, 2020 We study the following nonlinear eigenvalue problem −u″(t)=λf(u(t)),u(t)>0,t∈I:=(−1,1),u(±1)=0, where f(u)=log(1+u) and λ>0 is a parameter. Then λ is a continuous function of α>0, where α is the maximum norm α=∥uλ∥∞ of the solution uλ associated with λ ...
Tetsutaro Shibata
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