Regional boundary controllability of semilinear subdiffusion Caputo fractional systems

Tajani, Asmae; Alaoui, Fatima-Zahrae El; Boutoulout, Ali

doi:10.1016/j.matcom.2021.10.008

Cited by 3 publications

(1 citation statement)

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“…Epidemiological models can analyze the course of the diseases since they are constructed by considering the characteristics of the infection and the nature of each one [6][7][8]. On the contrary, fractional derivatives have allowed many real-world problems to be solved, as they can fulfill complex manners due to their definition [9][10][11][12]. Therefore, epidemiological models are analyzed according to the transmission dynamics behavior when combined with fractional derivatives [13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Fractional-order brucellosis transmission model between interspecies with a saturated incidence rate

Yapışkan,

Eroğlu

2024

BBM

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In this study, brucellosis dynamics between interspecies are discussed with the Atangana-Baleanu fractional derivative to examine the transmission of brucellosis by its behavior. The recovered compartment, recruitment, and natural death rate for humans are considered for the fractional order model to analyze the transmission dynamics in more detail from an epidemiological point of view. Additionally, the saturated incidence rate is suggested for brucellosis as indirectly transmitted to individuals from the environment. By fixed point theory, it is verified that developed fractional transmission dynamics have a unique solution. The model under consideration employs the Adams-type predictor-corrector method for numerical solution. All comparative results are plotted by MATLAB.

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