Stability and Hopf bifurcation analysis of a delayed tobacco smoking model containing snuffing class

Zhang, Zizhen; Zou, Junchen; Upadhyay, Ranjit Kumar; Anbalagan, Pratap

doi:10.1186/s13662-020-02808-5

Cited by 8 publications

(3 citation statements)

References 46 publications

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“…Because of its ease of implementation, the state-feedback pinning synchronization control problem has received a lot of attention [1,5,38]. State-feedback control allows one agent in MASs to have its state converge on a specific common form by leveraging its condition and the states of its neighbors.…”

Section: Introductionmentioning

confidence: 99%

Robust impulse nonlinear delayed multi-agent systems: an exponential synchronization

Kaewbanjak,

Stephen,

Srinidhi

et al. 2024

J. Math. Computer Sci.

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This work explores the use of state-feedback pinning control in the presence of time-varying delay to solve the synchronization problem of uncertain nonlinear multi-agent systems (MASs). To begin, it is assumed that the agent's communication topology is a directed, static network. Second, the synchronization issue is transformed into the typical closed-loop system stability issue by employing Laplacian matrix inequality (LMI). The primary goal of this study is to construct a state-feedback pinning controller that yields a closed-loop system that is stable under all permissible uncertainty and impulsive cases. To achieve this goal, we develop a new set of delay-dependent synchronization criteria for the closed-loop system by constructing an appropriate Lyapunov functional and making use of Kronecker product features in conjunction with matrix inequality approaches. All that's needed to construct the optimal state-feedback controller is a set of constraints in the form of linear matrix inequalities, which can be solved with any number of powerful optimization methods. To further illustrate the practicality and efficiency of the suggested control design system, a numerical example and associated simulations are provided.

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Section: Introductionmentioning

confidence: 99%

Robust impulse nonlinear delayed multi-agent systems: an exponential synchronization

Kaewbanjak,

Stephen,

Srinidhi

et al. 2024

J. Math. Computer Sci.

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“…Darti et al presented the numerical approach for the SIR epidemic model with a saturated incidence rate by using the non-standard finite difference method [30]. Zhang et al considered a tobacco smoking model with delay and studied the dynamics by taking the delay as a bifurcation factor based on the Hopf bifurcation and local stability [31]. Alcaide et al discussed hybridized viral infections, ecological and evolutionary factors in plants diseases [32].…”

Section: Introductionmentioning

confidence: 99%

Artificial intelligence knacks-based stochastic paradigm to study the dynamics of plant virus propagation model with impact of seasonality and delays

et al. 2022

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The presented study deals with the exploitation of the artificial intelligence knacksbased stochastic paradigm for the numerical treatment of the nonlinear delay differential system for dynamics of plant virus propagation with the impact of seasonality and delays (PVP-SD) model by implementing neural networks backpropagation with Bayesian regularization scheme (NNs-BBRS). The PVP-SD model is represented with five classes-based ODEs systems for the interaction between insects and plants. The nonlinear PVP-SD model governs with five populations: S(t) susceptible plants, I(t) infected plants, X(t) susceptible insect vectors, Y (t) infected insect vectors and P(t) predators. Adams numerical procedure is adopted to generate the reference solutions of the nonlinear PVP-SD model based on the variety of cases by varying the plants bite rate due to vectors, vector bite rate due to plants, plant's recovery rate, predator contact rate with healthy insects, predator contact rate with infected insects and death rate caused by insecticides. The approximate solutions of the nonlinear PVP-SD model are determined by executing the designed NNs-BBRS through different target and inputs arbitrary selected samples for the training and testing data. Validation of the consistent precision and convergence of the designed NNs-BBRS is efficaciously substantiated through exhaustive simulations and analyses on mean square error-based merit function, index of regression and error histogram illustrations.

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“…Zou et al [20] established a delayed susceptible-infectious-recovered model for the transmission of porcine reproductive respiratory syndrome virus and acquired properties of the Hopf bifurcation by the normal form theory and center manifold theorem. Zhang et al [21] proposed a delayed tobacco smoking model containing users in the form of snuffing and presented global exponential stability results for smoking present equilibrium by LMI techniques. Rajchakit and Rajchakit [22] investigated mean square robust stability of stochastic switched discrete-time-delay systems with convex polytopic uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Complexity Analysis and Control in Time-Delay Vaccine Supply Chain considering Cold Chain Transportation

Dao-ming

2020

Mathematical Problems in Engineering

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Due to the important role of the vaccines in the prevention of global epidemics, this paper focuses on a vaccine transportation supply chain composed of one distributor and one retailer. Based on the assumption that the decision-maker does not make a decision instantaneously, we present a decision-making time-delay model. Firstly, we captured some sufficient conditions of delay-induced bifurcation for the model by regarding different combinations of the decision delay periods as the bifurcation parameters and analyzed how the speed of decision-making adjustment of distributor or retailer affects the critical point of system stability. Secondly, we made a numerical simulation on the model by using a two-dimensional bifurcation diagram, largest Lyapunov exponent, and entropy and chaotic attractor, respectively. Finally, we used two coordination methods to control chaos and compared them. The results show that when the decision delay exceeds a certain threshold, the system will lose stability or go into chaos. The precipitous speed of decision variable adjustment of the distributor or retailer will increase the entropy of the system and lead the system into a chaotic state. When the vaccine supply chain is in chaos, the effect of external control on chaos is better than that of internal control on chaos.

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Stability and Hopf bifurcation analysis of a delayed tobacco smoking model containing snuffing class

Cited by 8 publications

References 46 publications

Robust impulse nonlinear delayed multi-agent systems: an exponential synchronization

Robust impulse nonlinear delayed multi-agent systems: an exponential synchronization

Artificial intelligence knacks-based stochastic paradigm to study the dynamics of plant virus propagation model with impact of seasonality and delays

Complexity Analysis and Control in Time-Delay Vaccine Supply Chain considering Cold Chain Transportation

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