Periodic solutions of a delayed model for propagation of malicious codes in WSNS with graded infection rate

被引：1

作者：

Liu, Juan ^{[1
]}

Gul, Nadia ^{[2
]}

Zeb, Anwar ^{[3
]}

Saeed, Tareq ^{[4
]}

机构：

[1] Bengbu Univ, Sch Sci, Bengbu 233030, Anhui, Peoples R China

[2] Shaheed Benazir Bhutto Women Univ, Dept Math, Peshawar 25000, Khyber Pakhtunk, Pakistan

[3] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Abbottabad 22060, Khyber Pakhtunk, Pakistan

[4] King Abdulaziz Univ, Dept Math, Jeddah 41206, Saudi Arabia

来源：

RESULTS IN PHYSICS | 2022年 / 38卷

关键词：

Delays; Graded infection rate; Hopf bifurcation; Malicious codes; Periodic solutions; WIRELESS SENSOR NETWORKS; BIFURCATION-ANALYSIS; STABILITY;

D O I：

10.1016/j.rinp.2022.105631

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A delayed model for propagation of malicious codes in wireless sensor networks (WSNS) with graded infection rate is formulated in this article. The impact of the two time delays and existence of Hopf bifurcation are explored. Properties of periodic solutions arising through the Hopf bifurcation are studied. Finally, some numerical simulations are executed with the help of Matlab in order to account for the obtained theoretical results.

引用

页数：22

共 50 条

[31] Pseudo almost periodic solutions for a model of hematopoiesis with an oscillating circulation loss rate
Jiang, Ani
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (12) : 3215 - 3225
[32] PROPAGATION DYNAMICS OF A TIME PERIODIC AND DELAYED REACTION-DIFFUSION MODEL WITHOUT QUASI-MONOTONICITY
Zhang, Liang
Wang, Zhi-Cheng
Zhao, Xiao-Qiang
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 372 (03) : 1751 - 1782
[33] Existence and Uniqueness of Positive Periodic Solutions for a Delayed Predator-Prey Model with Dispersion and Impulses
Luo, Zhenguo
Luo, Liping
Yang, Liu
Gao, Zhenghui
Zeng, Yunhui
JOURNAL OF APPLIED MATHEMATICS, 2014,
[34] GLOBAL STABILITY OF A MULTIPLE DELAYED VIRAL INFECTION MODEL WITH GENERAL INCIDENCE RATE AND AN APPLICATION TO HIV INFECTION
Ji, Yu
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2015, 12 (03) : 525 - 536
[35] Dynamical behaviors of a delayed HBV infection model with logistic hepatocyte growth, cure rate and CTL immune response
Wang, Yang
Liu, Xianning
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2015, 32 (03) : 575 - 593
[36] Existence of positive periodic solutions for a class of in-host MERS-CoV infection model with periodic coefficients
Keyoumu, Tuersunjiang
Ma, Wanbiao
Guo, Ke
AIMS MATHEMATICS, 2021, 7 (02): : 3083 - 3096
[37] New results on the almost periodic solutions for a model of hematopoiesis with an oscillatory circulation loss rate
Balderrama, Rocio
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (02)
[38] DYNAMICS OF AN SIRS EPIDEMIC MODEL WITH PERIODIC INFECTION RATE ON A SCALE-FREE NETWORK
Sun, Hongquan
Li, Hong
Zhu, Zhangsheng
JOURNAL OF BIOLOGICAL SYSTEMS, 2022, 30 (03) : 673 - 693
[39] A novel numerical solution of nonlinear stochastic model for the propagation of malicious codes in Wireless Sensor Networks using a high order spectral collocation technique
Zhu, Junjie
Ullah, Misbah
Ullah, Saif
Riaz, Muhammad Bilal
Saqib, Abdul Baseer
Alamri, Atif M.
Alqahtani, Salman A.
SCIENTIFIC REPORTS, 2025, 15 (01):
[40] Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity
Wang, Tianlei
Hu, Zhixing
Liao, Fucheng
Ma, Wanbiao
MATHEMATICS AND COMPUTERS IN SIMULATION, 2013, 89 : 13 - 22

← 1 2 3 4 5 →