Minimum Superstability of Stochastic Ternary Antiderivations in Symmetric Matrix-Valued FB-Algebras and Symmetric Matrix-Valued FC-⋄-Algebras

Eidinejad, Zahra; Saadati, Reza; O’Regan, Donal; Alshammari, Fehaid Salem

doi:10.3390/sym14102064

Cited by 3 publications

(1 citation statement)

References 20 publications

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“…The stochastic models were used by many authors in the literature: The single time-delayed stochastic integral equations via orthogonal functions are implemented by Seyyedeh N. Kiaee et al [23]. The minimum superstability of stochastic ternary antiderivations in symmetric matrix-valued are used by [24]. Similarly, the stochastic analysis of train running safety on a bridge with earthquake-induced irregularity under aftershock was studied by the author [25] and the stochastic SIRS epidemic model using the spectral technique by [26].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Stochastic Zika Virus with Treatment Class in Human Population via Spectral Method

Algehyne

Khan

et al. 2022

Symmetry

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The Zika virus model (ZIKV) is mathematically modeled to create the perfect control strategies. The main characteristics of the model without control strategies, in particular reproduction number, are specified. Based on the basic reproduction number, if R0<0, then ZIKV satisfies the disease-free equilibrium. If R0>1, then ZIKV satisfies the endemic equilibrium. We use the maximum principle from Pontryagin’s. This describes the critical conditions for optimal control of ZIKV. Notwithstanding, due to the prevention and treatment of mosquito populations without spraying, people infected with the disease have decreased dramatically. Be that as it may, there has been no critical decline in mosquitoes contaminated with the disease. The usage of preventive treatments and insecticide procedures to mitigate the spread of the proposed virus showed a more noticeable centrality in the decrease in contaminated people and mosquitoes. The application of preventive measures including treatment and insecticides has emerged as the most ideal way to reduce the spread of ZIKV. Best of all, to decrease the spread of ZIKV is to use avoidance, treatment and bug spraying simultaneously as control methods. Moreover, for the numerical solution of such stochastic models, we apply the spectral technique. The stochastic or random phenomenons are more realistic and make the model more informative with the additive information. Throughout this paper, the additive term is assumed as additive white noise. The Legendre polynomials and applications are implemented to transform the proposed system into a nonlinear algebraic system.

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Section: Introductionmentioning

confidence: 99%

Dynamics of Stochastic Zika Virus with Treatment Class in Human Population via Spectral Method

Algehyne

Khan

et al. 2022

Symmetry

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The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions

Eidinejad,

Saadati,

Vahidi

et al. 2024

Bound Value Probl

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Cryptosystems Based on Tropical Congruent Transformation of Symmetric Matrices

Huang

2022

Symmetry

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Recently, public-key cryptography based on tropical semi-rings have been proposed. However, the majority of them are damaged. The main reason is that they use a public matrix to construct commutative matrix semi-rings. New public-key cryptosystems are proposed in this paper. They are based on tropical congruent transformation of symmetric matrix by circular matrix. The NP-hard problem of solving a tropical system of nonlinear equations underlies the cryptosystem’s security. Since a known matrix cannot express the used commutative subsemi-rings of circular matrices and there is no tropical matrix addition operation and power of matrix, the cryptosystems can withstand known attacks, including the KU attack, RM attack, and IK attack. The length of the public key and private key of the new cryptosystems is half that of those described in the literature.

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Minimum Superstability of Stochastic Ternary Antiderivations in Symmetric Matrix-Valued FB-Algebras and Symmetric Matrix-Valued FC-⋄-Algebras

Cited by 3 publications

References 20 publications

Dynamics of Stochastic Zika Virus with Treatment Class in Human Population via Spectral Method

Dynamics of Stochastic Zika Virus with Treatment Class in Human Population via Spectral Method

The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions

Cryptosystems Based on Tropical Congruent Transformation of Symmetric Matrices

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