Applications of Mathematics最新文献

A note on connections between some concepts of convergence in homogenization theory 关于同质化理论中一些收敛概念之间联系的注解

IF 0.6 4区数学

Applications of Mathematics Pub Date : 2026-10-07 DOI: 10.21136/AM.2026.0121-26

Tatiana Danielsson, Liselott Flodén, Anders Holmbom, Pernilla Johnsen, Marianne Olsson Lindberg, Jens Persson

引用次数: 0

Global existence and finite time blow up for a damped Petrovsky equation with Hartree type nonlinearity 一类具有Hartree型非线性的阻尼Petrovsky方程的整体存在性和有限时间爆破性

IF 0.6 4区数学

Applications of Mathematics Pub Date : 2026-10-05 DOI: 10.21136/AM.2026.0090-26

Nguyen Duc Phuong

引用次数: 0

Modeling a flexible uni/bimodal ℤ-valued time series with discrete double Lindley innovations: Forecasting via hybrid and statistical approaches 具有离散双Lindley创新的柔性单/双峰n值时间序列建模：通过混合和统计方法进行预测

IF 0.6 4区数学

Applications of Mathematics Pub Date : 2026-10-02 DOI: 10.21136/AM.2026.0070-26

Hassan S. Bakouch, Mahmoud Mohamed Gabr, Shimaa M. El-Hadidy

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引用次数: 0

High accuracy numerical methods for solving second order nonlinear Fredholm integro-differential equations 求解二阶非线性Fredholm积分-微分方程的高精度数值方法

IF 0.6 4区数学

Applications of Mathematics Pub Date : 2026-09-25 DOI: 10.21136/AM.2026.0274-25

Quang A. Dang, Thi Thu Ha Nguyen, Vinh Quang Vu

引用次数: 0

On the global existence of weak solutions for the 3D axisymmetric chemotaxis-Navier-Stokes equations with partial diffusion 部分扩散的三维轴对称趋化- navier - stokes方程弱解的整体存在性

IF 0.6 4区数学

Applications of Mathematics Pub Date : 2026-09-21 DOI: 10.21136/AM.2026.0003-23

Xiaoyu Chen, Jijie Zhao, Qian Zhang

引用次数: 0

Editorial: Modern mathematical methods and high-performance computing for emerging scientific challenges 社论：现代数学方法和高性能计算应对新出现的科学挑战

IF 0.6 4区数学

Applications of Mathematics Pub Date : 2026-09-16 DOI: 10.21136/AM.2026.0196-26

Vinai K. Singh, Qin Sheng

引用次数: 0

Improving secure communication and image encryption through fixed-time AGHPS under external disturbances 通过固定时间AGHPS改进外部干扰下的安全通信和图像加密

IF 0.6 4区数学

Applications of Mathematics Pub Date : 2026-09-11 DOI: 10.21136/AM.2026.0290-25

Rabiaa Ouahabi, Yamina Soula

{"title":"Improving secure communication and image encryption through fixed-time AGHPS under external disturbances","authors":"Rabiaa Ouahabi, Yamina Soula","doi":"10.21136/AM.2026.0290-25","DOIUrl":"10.21136/AM.2026.0290-25","url":null,"abstract":"<div><p>This article suggests a secure communication scheme with a new synchronization technique combining Adaptive Generalized Hybrid Projective Synchronization (AGHPS) and fixed-time stability for chaotic systems. The scheme is based on the structural flexibility of AGHPS but offers guaranteed and fast convergence under fixed-time control regardless of initial conditions. A comparative analysis with a recently published method is performed. The comparison shows a significant improvement in the synchronization time, indicating faster convergence under the same circumstances. In addition, higher performance is achieved by the new method in secure communication applications, especially encrypted image transmission and recovery. Simulations show unambiguous improvement in image recovery quality even under channel interference and parameter uncertainties, i.e., the scheme’s efficiency and reliability. This contribution therefore provides a computationally effective and secure synchronization framework with significant advantages over existing approaches and therefore a fine choice for real-time chaos-based communication systems.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"71 5","pages":"779 - 802"},"PeriodicalIF":0.6,"publicationDate":"2026-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149219436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Bifurcation and chaos in a delayed predator-prey model with fear and cooperative hunting 具有恐惧和合作狩猎的延迟捕食者-猎物模型的分岔和混沌

IF 0.6 4区数学

Applications of Mathematics Pub Date : 2026-09-09 DOI: 10.21136/AM.2026.0008-26

Anima Sarkar, Rakesh Medda, Sasanka Shekhar Maity, Samares Pal

{"title":"Bifurcation and chaos in a delayed predator-prey model with fear and cooperative hunting","authors":"Anima Sarkar, Rakesh Medda, Sasanka Shekhar Maity, Samares Pal","doi":"10.21136/AM.2026.0008-26","DOIUrl":"10.21136/AM.2026.0008-26","url":null,"abstract":"<div><p>This study investigates a predator-prey model that incorporates fear-induced responses in prey along with cooperative hunting behavior among predators. To describe the dynamics of the model, we show that there is a positively invariant region, where the trajectories are bounded, and that the origin is a hyperbolic repeller. We derive necessary and sufficient conditions for the existence and explicit characterization of up to two coexistence equilibria. One equilibrium is always a hyperbolic saddle, whereas the other may act as an attractor, a repeller, or a weak focus. The system can experience bifurcations, including transcritical and Hopf bifurcations, which have an impact on the model’s dynamics. Our system crucially depends on the growth rate of prey, i.e. whether the system showcases extinction to coexistence to cyclic dynamics. The system always shows the stable coexistence for lower strength of hunting cooperation and the stable cyclic dynamics for higher strength of hunting cooperation. The bistability appears in the system for certain ranges of prey’s growth rate and for hunting cooperation levels as well. Moreover, time delays in the fear response of prey and cooperative hunting are also taken into consideration to examine a more realistic scenario. Our findings demonstrate that both time delays stabilize the system initially by eliminating limit cycle oscillations; for larger time delay magnitudes, stability switching, and chaotic behaviors are seen. The results imply that comprehending the effects of cooperative hunting and prey’s fear reaction may be essential for the predator-prey system. Finally, the analytical results are demonstrated to be supported by numerical simulations.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"71 4","pages":"511 - 538"},"PeriodicalIF":0.6,"publicationDate":"2026-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148965405","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A regularization method based on HHL quantum algorithm and Levenberg-Marquardt method 一种基于HHL量子算法和Levenberg-Marquardt方法的正则化方法

IF 0.6 4区数学

Applications of Mathematics Pub Date : 2026-09-08 DOI: 10.21136/AM.2026.0193-25

Amir Hossein Salehi Shayegan, Laya Dejam

引用次数: 0

Mathematical Modelling of oxygen transport and its role in oocyte maturation 氧运输的数学模型及其在卵母细胞成熟中的作用

IF 0.6 4区数学

Applications of Mathematics Pub Date : 2026-08-13 DOI: 10.21136/AM.2026.0015-26

Chubrang Yun, Jagdish Prasad Maurya, Sangeeta Maurya

{"title":"Mathematical Modelling of oxygen transport and its role in oocyte maturation","authors":"Chubrang Yun, Jagdish Prasad Maurya, Sangeeta Maurya","doi":"10.21136/AM.2026.0015-26","DOIUrl":"10.21136/AM.2026.0015-26","url":null,"abstract":"<div><p>A mathematical model is presented to analyse the transport of oxygen to the oocyte through the known oxygen environment of the cumulus cells of the cumulus-oocyte complex (COC). The viability and development of the competent oocyte mainly depends on the adequate supply of molecular oxygen from the microenvironmental tissues. For the analysis of oxygen transport from the external environment, different concentric biological layers of the oocyte have been considered, such as the follicular fluid, cumulus cell mass, zona pellucida, and oocyte membrane. Steady-state diffusion of oxygen within the oocyte, which is considered a spherical cell, is assumed for modelling. The governing equation consists of steady-state mass diffusion of oxygen with a nonlinear consumption term. Using the Maclaurin series approach, an analytical model of the oxygen concentration at different locations around the oocyte is obtained, assuming that the surrounding fluid is maintained at a constant oxygen concentration. The proposed mathematical model predicts steep radial oxygen gradients and the possible formation of hypoxia at the centre of the oocyte. Furthermore, the proposed model is validated with the available physiological observations reported in the literature and a good agreement between theoretical predictions with the data is observed. These findings may have important implications for assisted reproductive technologies such as IVM and also might enhance the oocyte maturation outcomes.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"71 4","pages":"575 - 599"},"PeriodicalIF":0.6,"publicationDate":"2026-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148965454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0