Fractional order bacterial infection model with effects of anti-virulence drug and antibiotic

Daşbaşı, Bahatdin

doi:10.1016/j.chaos.2023.113331

Cited by 6 publications

(2 citation statements)

References 54 publications

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“…As a result of transforms in (7), x(t), y(t) and z(t) represent the proportion of each compartment within the total population. The above-mentioned scenario of the interactions of the variables regarding the parameters used in system ( 8) is shown in Figure 1.…”

Section: Fractional-order Mobbing Mathematical Modelmentioning

confidence: 99%

“…The Caputo derivative has some advantages over the Riemann-Liouville derivative [6]. Some of these can be summarized as follows: The Caputo derivative used in this study is very useful when dealing with a real-world problem because it allows conventional initial and boundary conditions to be included in the formulation of the problem, and in addition the derivative of a constant is zero [7]. Fractional-order differential equations (FODEs), being a form of interest to scientists in mathematical modeling in recent years, are used in the fields such as physics [8], thermodynamics [9], viscoelastic [10], electrical theory [11], mechatronics [12], medicine [13], chemistry [14,15], chaos theory [16], finance and economics [17], biological systems [18,19], etc.…”

Section: Introductionmentioning

confidence: 99%

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A compartmental fractional-order mobbing model and the determination of its parameters

Işık,

Daşbaşı

2023

BBM

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In this study, a mathematical model is presented with fractional-order differential equations in the Caputo sense that examines the time-dependent changes of variables representing individuals who are exposed to mobbing, individuals who are not exposed to mobbing, or individuals who gained resistance to mobbing, and individuals who practice mobbing. Existence and uniqueness, and boundedness and non-negativity of the solutions of the proposed model are examined. Additionally, the data set containing the time-dependent changes of these variables has been used as a basis to examine the dynamics in a population. By the data set, the approximate results of 9 different parameters used in the proposed mathematical model with ODE have been found with the lsqcurvefit function. The parameters obtained from the ODE system are rewritten into the proposed fractional model, and the value of the derivative order that gives the minimum error has been investigated. The related Matlab codes are presented in the study. Also, while it is observed that a decrease occurs in the number of individuals exposed to mobbing, there is an increase in the number of individuals who are not exposed to mobbing or who gain resistance to mobbing and individuals who practice mobbing. All the obtained results are shown in graphical detail.

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Section: Fractional-order Mobbing Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A compartmental fractional-order mobbing model and the determination of its parameters

Işık,

Daşbaşı

2023

BBM

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A fractional-order model for nosocomial infection caused by Pseudomonas aeruginosa in Northern Cyprus

Bagkur,

Amilo,

Kaymakamzade

2024

Computers in Biology and Medicine

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Mathematical modelling of fiber optic cable with an electro-optical cladding by incommensurate fractional-order differential equations

Ersoy,

Daşbaşı,

Aslan

2023

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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In this study, the mathematical model through incommensurate fractional-order differential equations in Caputo meaning are presented for time-dependent variables given as the numerical aperture, critical angle, and acceptance angle characteristics of a fiber optic cable with electro-optical cladding. The qualitative analysis including the existence and stability of the equilibrium points of the proposed model has been made according to the used parameters, and then, the results obtained from this analysis are supported through numerical simulations by giving the possible values that can be obtained from experimental studies to these parameters in the model. In this way, a stable equilibrium point of the system for the core refractive index, cladding refractive index and electrical voltage is obtained according to the threshold parameter. Thus, the general formulas for the critical angle, acceptance angle and numerical aperture have been obtained when this fixed point is stable.

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Fractional order bacterial infection model with effects of anti-virulence drug and antibiotic

Cited by 6 publications

References 54 publications

A compartmental fractional-order mobbing model and the determination of its parameters

A compartmental fractional-order mobbing model and the determination of its parameters

A fractional-order model for nosocomial infection caused by Pseudomonas aeruginosa in Northern Cyprus

Mathematical modelling of fiber optic cable with an electro-optical cladding by incommensurate fractional-order differential equations

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