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EFFECT OF MATURATION AND GESTATION DELAYS IN A STAGE STRUCTURE PREDATOR PREY MODEL
Banerjee, Sandip,Mukhopadhyay, B.,Bhattacharyya, R. The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.5
In this paper, a stage-structured predator prey model (stage structure on prey) with two discrete time delays has been discussed. The two discrete time delays occur due to maturation delay and gestation delay. Linear stability analysis for both non-delay as well as with delays reveals that certain thresholds have to be maintained for coexistence. Numerical simulation shows that the system exhibits Hopf bifurcation, resulting in a stable limit cycle.
R.N. Bhowmik,N. Naresh,B. Ghosh,S. Banerjee 한국물리학회 2014 Current Applied Physics Vol.14 No.7
The compound a-Fe1.4Ga0.6O3 has been prepared by mechanical alloying of a-Fe2O3 and b-Ga2O3 and subsequent heating under vacuum condition. X-ray diffraction, Raman and Mössbauer spectroscopy confirmed stabilization of the material in rhombohedral phase. A remarkable change in the magnetic ordering has been found by substitution of non-magnetic Ga atoms in a-Fe2O3. The ferromagnetism in a- Fe1.4Ga0.6O3 is found to be more soft and enhanced in comparison to a-Fe2O3. The samples also exhibited features of exchange bias, low temperature surface paramagnetism, and suppression of Morin transition. Nano-sized grains and alloying process of the material affected these features up to certain extent. The results of magnetic measurements are highly interesting for designing metal doped a-Fe2O3 based ferromagnet for room temperature applications.
Banerjee, S.,Basak, S.,Adhikari, M.R. 충청수학회 2006 충청수학회지 Vol.19 No.4
The aim of this paper is to endow a monoid structure on the set S of all oriented knots(links) under the operation ${\biguplus}$, called addition of knots. Moreover, we prove that there exists a homomorphism of monoids between ($S_d,\;{\biguplus}$) to (N, +), where $S_d$ is a subset of S with an extra condition and N is the monoid of non negative integers under usual addition.
S. Banerjee,S. Basak,M. R. Adhikari 충청수학회 2006 충청수학회지 Vol.19 No.4
The aim of this paper is to endow a monoid structure on the set S of all oriented knots(links) under the operation , called addition of knots. Moreover, we prove that there exists a homomorphism of monoids between (S d , ) to (N, +), where S d is a subset of S with an extra condition and N is the monoid of non negative integers under usual addition.
EFFECT OF MATURATION AND GESTATION DELAYS IN A STAGE STRUCTURE PREDATOR PREY MODEL
Sandip Banerjee,B. Mukhopadhyay,R. Bhattacharyya 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.5
In this paper, a stage-structured predator prey model (stage structure on prey) with two discrete time delays has been discussed. The two discrete time delays occur due to maturation delay and gestation delay. Linear stability analysis for both non-delay as well as with delays reveals that certain thresholds have to be maintained for coexistence. Numerical simulation shows that the system exhibits Hopf bifurcation, resulting in a stable limit cycle.
Nandan K. Mondal,Shabana Siddique,Madhuchanda Banerjee,Sanghita Roychoudhury,Sayali Mukherjee,Mark S. Slaughter,Twisha Lahiri,Manas R. Ray 한국산업안전보건공단 산업안전보건연구원 2017 Safety and health at work Vol.8 No.2
Background There are a million ragpickers in India who gather and trade recyclable municipal solid wastes materials for a living. The objective of this study was to examine whether their occupation adversely affects their immunity. Methods Seventy-four women ragpickers (median age, 30 years) and 65 age-matched control housemaids were enrolled. Flow cytometry was used to measure leukocyte subsets, and leukocyte expressions of Fcγ receptor I (CD64), FcγRIII (CD16), complement receptor 1 (CD35) and CR3 (CD11b/CD18), and CD14. Serum total immunoglobulin-E was estimated with enzyme-linked immunosorbent assay. Results Compared with the controls, ragpickers had significantly (p < 0.0001) higher levels of CD8+T-cytotoxic, CD16+CD56+natural killer, and CD4+CD45RO+memory T-cells, but depleted levels of CD19+B-cells. The percentage of CD4+T-helper-cells was lower than the control group (p < 0.0001), but their absolute number was relatively unchanged (p = 0.42) due to 11% higher lymphocyte counts in ragpickers. In ragpickers, the percentages of CD14+CD16+intermediate and CD14dim CD16+nonclassical monocyte subsets were elevated with a decline in CD14+CD16-classical monocytes. The expressions of CD64, CD16, CD35, and CD11b/CD18 on both monocytes and neutrophils, and CD14 on monocytes were significantly higher in ragpickers. In addition, ragpickers had 2.7-times more serum immunoglobulin-E than the controls (p < 0.0001). After controlling potential confounders, the profession of ragpicking was positively associated with the changes. Conclusion Ragpicking is associated with alterations in both innate (neutrophils, monocytes, and natural killer cell numbers and expression of complement and Fcγ receptors) and adaptive immunity (numbers of circulating B cells, helper, cytotoxic, and memory T cells).
Exact natural frequencies of structures consisting of two-part beam-mass systems
Su, H.,Banerjee, J.R. Techno-Press 2005 Structural Engineering and Mechanics, An Int'l Jou Vol.19 No.5
Using two different, but related approaches, an exact dynamic stiffness matrix for a two-part beam-mass system is developed from the free vibration theory of a Bernoulli-Euler beam. The first approach is based on matrix transformation while the second one is a direct approach in which the kinematical conditions at the interfaces of the two-part beam-mass system are satisfied. Both procedures allow an exact free vibration analysis of structures such as a plane or a space frame, consisting of one or more two-part beam-mass systems. The two-part beam-mass system described in this paper is essentially a structural member consisting of two different beam segments between which there is a rigid mass element that may have rotatory inertia. Numerical checks to show that the two methods generate identical dynamic stiffness matrices were performed for a wide range of frequency values. Once the dynamic stiffness matrix is obtained using any of the two methods, the Wittrick-Williams algorithm is applied to compute the natural frequencies of some frameworks consisting of two-part beam-mass systems. Numerical results are discussed and the paper concludes with some remarks.