Mi Wang

Turing Instability of Hopf Bifurcation Periodic Solutions and Stability Analysis in a Diffusive Forest Kinematic Model

Jiahui You, Yuhang Hu, Wenyu Zhang, Mi Wang

In this paper, we investigate the asymptotic behavior of solutions to a diffusive forest kinematic model, which describes the interactions among young trees, old trees, and airborne seeds. Our study focuses on the stability of the positive equilibrium, the occurrence of Hopf …

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ANALYSIS OF THE KINETIC PROPERTIES OF THE DISCRETE FOREST DISEASE AND INSECT PEST MODELS

Jiarui Zhang, Wei Li, Mi Wang

In this paper, we study the dynamic behavior of discrete forest disease and pest model-spruce aphid model, analyze the properties of the dynamics by using the difference equation theory, including the existence of equilibrium points in the system model, and further analyze …

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Polysocial risk factors and trajectories of antenatal moderate-to-severe depressive symptoms: a retrospective cohort study in Shenzhen, China

Jintao Xiong, Y. Yu, Xuemei Qin, Yilin Peng et autres

BACKGROUND: Antenatal depression, especially moderate-to-severe depression, is associated with adverse maternal and infant health outcomes and is affected by multiple psychosocial factors. However, the cumulative effects of psychosocial determinants and trajectories of antenatal depression are underappreciated. This study aimed to investigate the …

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Childhood Trauma and Immune-Mediated Disease: Evidence from Ecological and Prospective Cohort Studies

Chengcheng Zhang, Labibah Qonitatul, Yi Xiao, Yang Zhang et autres

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Dynamic Properties of Coupled Nonlinear Split-Ring Resonators

Mi Wang

In this paper, we delve into the dynamics of two and three coupled SRRs models, exploring their nonlinear properties such as stability, periodicity, or chaos. Additionally, we examine the energy function Hamilton within the context of these models. Numerical examples are provided …

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Analysis of the Dynamical Properties of Discrete Predator‐Prey Systems with Fear Effects and Refuges

Wei Guo Li, Chunrui Zhang, Mi Wang

This paper examines the dynamic behavior of a particular category of discrete predator‐prey system that feature both fear effect and refuge, using both analytical and numerical methods. The critical coefficients and properties of bifurcating periodic solutions for Flip and Hopf bifurcations are …

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Diffusion-Induced Instability of the Periodic Solutions in a Reaction-Diffusion Predator-Prey Model with Dormancy of Predators

Mi Wang

A reaction-diffusion predator-prey model with the dormancy of predators is considered in this paper. We are concerned with the long-time behaviors of the solutions of this system. We divided our investigations into two cases: for the ODEs system, we study the existence …

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On the dynamics of the diffusive Field-Noyes model for the Belousov-Zhabotinskii reaction

Mi Wang, Fengqi Yi

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Spatial-L ∞-Norm-Based Finite-Time Bounded Control for Semilinear Parabolic PDE Systems With Applications to Chemical-Reaction Processes

Xiaona Song, Mi Wang, Ju H. Park, Shuai Song

This article investigates a spatial-$\mathcal {L}^{\infty }$-norm-based reliable bounded control problem for a class of nonlinear partial differential equation systems in a finite-time interval. The main novelties are reflected in the following aspects: 1) inspired by the sector-nonlinearity approach, the considered nonlinear …

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Infinite Subharmonic Periodic Solutions to a Class of Second-order Neutral Differential Equations

Mi Wang

In this paper,by critical point and Z2-group index theory,we obtain infinite subharmonic periodic solutions to second-order nonlinear non-autonomous Sturm-Liouville neutral functional differential equations(p(t)(μx'(t))+x'(t-τ)+μx'(t-2τ))'-q(t)x(t)+f(t,x(t),x(t-τ),x(t-2τ))=0,|μ|1/2.

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Upper Bounds for the Neumann Eigenvalues of Second-order Elliptic Operators with the Divergence Form

Mi Wang

Let Ω be a bounded dornain in Rm， m≥2, with sufficiently smooth boundary. The aim of thispaper is to give an upper bound for the Neumann eigenvalue of second-order elliptic operators - · (A ·) with the divergence form. Our bound depends …

Estimates for Eigenvalues of Polyharmonic Operator △~p

Mi Wang

Let Ω be a bounded domain in Rm, m≥2, with sufficiently smooth boundry.The eigenvalue problem of polyharmonic operator △p with any order is studied, a lower estimate for the eigenvalue of the operator △p is provided, which depends only on the volume …