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Chattopadhyay, Joydev
- Correlated Noises in Dynamical System with θ-Logistic Growth Process of Species
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Authors
Affiliations
1 Government College of Engineering and Textile Technology, Berhampore, West Bengal, IN
2 Indian Statistical Institute, Kolkata, IN
1 Government College of Engineering and Textile Technology, Berhampore, West Bengal, IN
2 Indian Statistical Institute, Kolkata, IN
Source
International Journal of Technology, Vol 4, No 1 (2014), Pagination: 1-5Abstract
Nonlinear dynamical system with correlated noise terms is an important and potential aspect in ecological problems. We consider a dynamical system where the growth process of the species follows θ-logistic model. Multiplicative and additive noises have been incorporated to the system. We study the steady state behaviour of the dynamical system in the presence of the two noises. The effect of the correlation coefficient between the two noises on steady state has been discussed. Apart from that the impact of θ and other related parameters on the steady state is studied using numerical methods aiming at the conservation strategy of the species.Keywords
Theta-Logistic Model, Population Dynamics, Correlated Noise, Stationary Distribution, Steady State.- Growth Profile of Chaetoceros Sp. and its Steady State Behaviour with Change in Initial Inoculum Size:A Modelling Approach
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PDF Views:108
Authors
Sayani Kundu
1,
Joyita Mukherjee
2,
Farhana Yeasmin
1,
Samarpita Basu
1,
Joydev Chattopadhyay
1,
Santanu Ray
3,
Sabyasachi Bhattacharya
1
Affiliations
1 Agricultural and Ecological Research Unit, Indian Statistical Institute, Kolkata 700 108, IN
2 Department of Zoology, Krishna Chandra College, Hetampur 731 124, IN
3 Systems Ecology & Ecological Modelling Laboratory, Department of Zoology, Visva-Bharati, Santiniketan 731 235, IN
1 Agricultural and Ecological Research Unit, Indian Statistical Institute, Kolkata 700 108, IN
2 Department of Zoology, Krishna Chandra College, Hetampur 731 124, IN
3 Systems Ecology & Ecological Modelling Laboratory, Department of Zoology, Visva-Bharati, Santiniketan 731 235, IN
Source
Current Science, Vol 115, No 12 (2018), Pagination: 2275-2286Abstract
Monitoring and modelling of the growth profile of microalgae species should be an important tool for the hatchery industries before standardizing the best yielding and cost-effective protocol for their unit. Several factors are responsible in determining the nature of the growth profile. The most important regulator of such growth profile should be the volume of the initial inoculum. In addition, identification and determination of different phases (lag, log, stationary, etc.) of the growth curves of microalgae may be an essential part in the growth profile monitoring. Estimation of growth phases will also help the hatchery scientists in standardizing the commercial culture for industry. Moreover, the transition of different phases can be accurately identified through theoretical models, which are mostly overlooked in simple analysis. Summing up, we have two precise objectives: (1) to study the effects of choice of initial inocula levels on the time to maturity of the Chaetoceros sp., (2) to model the growth profile of the species from which we can theoretically determine its different phases, based on the optical density measurement as a proxy of the biomass. The estimated values of each phase are compared under two initial inocula levels through statistical tests. Using the conceptual approach of the proposed theoretical technique, there is scope for developing a similar model, which can be used in determining cost-effective culture protocol for commercial use.Keywords
Cost-Effective Production, Growth Profile, Hatchery Industry, Initial Inoculum, Optical Density.References
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