Dynamical Systems

Wendan Guo

Shengfu Wang

Linfei Nie

Dynamical analysis of vector–host epidemic model with age structure and asymptomatic infection

具有年龄结构和无症状感染的向量-宿主传染病模型的动力学分析

Yiming Meng

N. Sri. Namachchivaya

Nicolas Perkowski

Almost sure asymptotic stability of parabolic SPDEs with small multiplicative noise: with application to the perturbed Moore-Greitzer model

几乎确定渐近稳定性的小乘性噪声抛物随机偏微分方程：以受扰动的摩尔-格雷森模型为例

In [Ye et al., Theory of Limit Cycles, 1986], quadratic systems are classified into three different normal forms (I, II and III) with increasing number of parameters. The simplest family is I and even several subfamilies of it have been studied, and some global attempts have been done, up to this paper, the full study was still undone. In this article, we make an interdisciplinary global study of Class I. Since the family has four parameters, we have studied it using the same technique that has already been used in several papers with similar systems which is based on the algebraic invariants of the Sibirskii's school. The bifurcation diagram for this class, done in the adequate parameter space which is the 3-dimensional real projective space, is quite rich in its complexity and yields 261 subsets with 49 different phase portraits for Class I (2 of them corresponding to linear systems), 7 of which have limit cycles. The phase portraits are always represented in the Poincaré disc. The bifurcation set is formed by an algebraic set of bifurcations of singularities, finite or infinite and by an analytic set of curves corresponding to phase portraits which have separatrix connections. Algebraic invariants were needed to construct the algebraic part of the bifurcation set, symbolic computations to deal with some quite complex invariants and numerical calculations to determine the position of the analytic bifurcation set of connections.

Joan Carles Artés

Hebai Chen

Lluc Manel Ferrer

Man Jia

Quadratic vector fields in class <i>I</i>

一类<i>I</i>中的二次向量场

Yocelyn Pérez Rothen

Claudio Vidal

Reduction and reconstruction procedure of a family of polynomial Hamiltonians in 1:1:2 and 1:1:-2 resonances

1:1:2和1:1:-2共振中一类多项式哈密顿量的约化与重构过程

Understanding the stages of the pest life cycle, from the juvenile class to the adult class, is crucial for developing effective pest control strategies. Targeted interventions can be tailored to each life stage, maximizing control efficiency and reducing the excessive use of pesticides; therefore, they help minimize damage to crops. With this motivation, we present a new strategy that uses the Filippov framework to describe the two stages of the pest life cycle, from the juvenile class to the adult class, with two economic thresholds. These thresholds serve as a vital signal for the timely implementation of resistance strategies. The first threshold measure is dependent on the density of juvenile pests allowed, while the second threshold is based on the density of allowed adult pests. This model assists pest control by concurrently managing both juvenile and adult populations, effectively keeping them below dangerous thresholds. By employing a dual approach to population regulation, the system ensures a comprehensive strategy for pest management. The model's dynamic behaviours, existence, and stability of various equilibria are addressed both analytically and numerically. Furthermore, we investigate sliding segment regions to determine the timing of control measures for both juvenile and adult pest populations. Additionally, we discuss the dynamics of the sliding mode, covering both local and global sliding bifurcations. The results indicate that the utilization of two economic thresholds in pest management is beneficial, as they can help prevent pest outbreaks by maintaining the density of juvenile and adult pests at desired levels.

Soliman A. A. Hamdallah

Dynamics analysis of Filippov pest control model with two economic thresholds

具有两个经济阈值的Filippov害虫控制模型的动力学分析

Abbreviation
Journal Impact	0.58
Quartiles(Global)	PHYSICS, MATHEMATICAL(Q4)

ISSN	1468-9367, 1468-9375
h-index	34

Publication Information	Publisher: Taylor and Francis Ltd.，Publishing cycle: Quarterly，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 1996，Proportion of original research papers: 100.00%，Self Citation Rate:20.00%， Gold OA Rate: 5.17%
Average review cycle	网友分享经验：>12周，或约稿
Average recruitment ratio	网友分享经验：容易

Dynamical Systems

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Dynamical analysis of vector–host epidemic model with age structure and asymptomatic infection

Almost sure asymptotic stability of parabolic SPDEs with small multiplicative noise: with application to the perturbed Moore-Greitzer model

Quadratic vector fields in class I

Reduction and reconstruction procedure of a family of polynomial Hamiltonians in 1:1:2 and 1:1:-2 resonances

Dynamics analysis of Filippov pest control model with two economic thresholds

Dynamical analysis of vector–host epidemic model with age structure and asymptomatic infection

Quadratic vector fields in class I

Almost sure asymptotic stability of parabolic SPDEs with small multiplicative noise: with application to the perturbed Moore-Greitzer model

Dynamics analysis of Filippov pest control model with two economic thresholds

Reduction and reconstruction procedure of a family of polynomial Hamiltonians in 1:1:2 and 1:1:-2 resonances