Papers by Parvaneh Najmadi
Acta Universitatis Sapientiae: Mathematica, Aug 1, 2018
The object of the present paper is to study of two certain subclass of analytic functions related... more The object of the present paper is to study of two certain subclass of analytic functions related with Booth lemniscate which we denote by BS(α) and BK(α). Some properties of these subclasses are considered.
arXiv (Cornell University), Apr 11, 2018
Malaria research and mathematical models have mainly concentrated on malaria Plasmodium at the bl... more Malaria research and mathematical models have mainly concentrated on malaria Plasmodium at the blood stage. This has left many questions concerning models of parasite dynamics in the liver and within the mosquito. These concerns are anticipated to keep scientists busy trying to understand the biology of the parasite for some more years to come. Thorough knowledge of parasite biology helps in designing appropriate drugs targeting particular stages of Plasmodium. To achieve this, there is need to study the transmission dynamics of malaria and the interaction between the infection in the liver, blood and mosquito using a mathematical model. In this study, a within-host mathematical model is proposed and considers the dynamics of P. falciparum malaria from the liver to the blood in the human host and then to the mosquito. Several techniques, including center manifold theory and sensitivity analysis are used to understand relevant features of the model dynamics like basic reproduction number, local and global stability of the disease-free equilibrium and conditions for existence of the endemic equilibrium. Results indicate that the infection rate of merozoites, the rate of sexual reproduction in gametocytes, burst size of both hepatocytes and erythrocytes are more sensitive parameters for the onset of the disease. However, a treatment strategy using highly effective drugs against such parameters can reduce on malaria progression and control the disease. Numerical simulations show that drugs with an efficacy above 90% boost healthy cells, reduce infected cells and clear parasites in human host. Therefore more needs to be done such as research in parasite biology and using highly effective drugs for treatment of malaria.
Frontiers in Optics + Laser Science 2022 (FIO, LS)
In this article, we produce micro-macro and macro-macro states with the NOON initial state; final... more In this article, we produce micro-macro and macro-macro states with the NOON initial state; finally, we scrutinize the effective squeezing parameter, mean photon numbers, number of input photons and number of macroscopic modes on concurrence.
We consider a two-qubit superconducting system. By introducing the two measures of Concurrence an... more We consider a two-qubit superconducting system. By introducing the two measures of Concurrence and discord, we calculate the value of the correlations of this system and also determine the changes of the correlations of this system with respect to the temperature and the coupling of the circuits.
International Journal of Nonlinear Analysis and Applications, 2021
By using the subordination relation $"prec"$, we introduce an interesting subclass of a... more By using the subordination relation $"prec"$, we introduce an interesting subclass of analytic functions as follows: begin{equation*} mathcal{S}^*_{alpha}:=left{fin mathcal{A}:frac{zf'(z)}{f(z)}prec frac{1}{(1-z)^alpha}, |z|<1right}, end{equation*} where $0<alphaleq1$ and $mathcal{A}$ denotes the class of analytic and normalized functions in the unit disk $|z|<1$. In the present paper, by the class $mathcal{S}^*_{alpha}$ and by the Nunokawa lemma we generalize a famous result connected to starlike functions of order $1/2$. Also, coefficients inequality and logarithmic coefficients inequality for functions of the class $mathcal{S}^*_{alpha}$ are obtained.
Acta Universitatis Sapientiae, Mathematica, 2018
The object of the present paper is to study of two certain subclass of analytic functions related... more The object of the present paper is to study of two certain subclass of analytic functions related with Booth lemniscate which we denote by ℬ𝒮 (α) and ℬ𝒦 (α). Some properties of these subclasses areconsidered.
Journal of Applied Analysis, 2019
Let K be a closed convex cone in a real Banach space, H : K → cc ( K ) {H\colon K\to\operatorna... more Let K be a closed convex cone in a real Banach space, H : K → cc ( K ) {H\colon K\to\operatorname{cc}(K)} a continuous sublinear correspondence with nonempty, convex and compact values in K, and let f : ℝ → ℝ {f\colon\mathbb{R}\to\mathbb{R}} be defined by f ( t ) = ∑ n = 0 ∞ a n t n {f(t)=\sum_{n=0}^{\infty}a_{n}t^{n}} , where t ∈ ℝ {t\in\mathbb{R}} , a n ≥ 0 {a_{n}\geq 0} , n ∈ ℕ {n\in\mathbb{N}} . We show that the correspondence F t ( x ) : = ∑ n = 0 ∞ a n t n H n ( x ) , ( x ∈ K ) {F^{t}(x)\mathrel{\mathop{:}}=\sum_{n=0}^{\infty}a_{n}t^{n}H^{n}(x),(x\in K)} is continuous and sublinear for every t ≥ 0 {t\geq 0} and F t ∘ F s ( x ) ⊆ ∑ n = 0 ∞ c n H n ( x ) {F^{t}\circ F^{s}(x)\subseteq\sum_{n=0}^{\infty}c_{n}H^{n}(x)} , x ∈ K {x\in K} , where c n = ∑ k = 0 n a k a n - k t k s n - k {c_{n}=\sum_{k=0}^{n}a_{k}a_{n-k}t^{k}s^{n-k}} , t , s ≥ 0 {t,s\geq 0} .
Iranian Journal of Science and Technology, Transactions A: Science, 2019
In this paper, we study the radius of convexity of the following integral operators where f i 1 i... more In this paper, we study the radius of convexity of the following integral operators where f i 1 i n ð Þand g j 1 j m ð Þbelong to some certain subclasses of analytic functions. Also, we investigate the univalency of under some conditions.
Frontiers in Optics + Laser Science 2022 (FIO, LS)
In this article, we produce micro-macro and macro-macro states with the NOON initial state; final... more In this article, we produce micro-macro and macro-macro states with the NOON initial state; finally, we scrutinize the effective squeezing parameter, mean photon numbers, number of input photons and number of macroscopic modes on concurrence.
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Papers by Parvaneh Najmadi