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[CT017]

Session Date & Time : 3D (Aug.23, 15:30-17:10)
Type : Contributed Talk
Abstract : In the present work, fractional order Hantavirus epidemic model introduced by \cite{peixoto2006effect,hantavirus2010modeling} is integrated using new iterative method (NIM) and implicit $\theta-$ method ($\theta=1$). New iterative method has been developed by Daftardar-Gejji and H. Jafari \cite{daftardar2006iterative}. Using new iterative method and $ \theta-$ method \cite{yakit2018explicit}, we have developed a new numerical algorithm to solve fractional differential equations (FDEs) in the Hantavirus model. Dynamics of the hanta virus model is studied. Hantavirus model of fractional order represents mouse population before and after getting influenced by Hantavirus under various conditions and its effect on birth rate and death rate of mice is studied. This model represents a Hantavirus infection in rodents and alien population. It has been observed that solution obtained by new algorithm is accurate and in good agreement when compared with solution obtained by other established algorithms. Further, effects of harvesting efforts $E(t)$ as an optimal control on spread of Hantavirus infection is studied. It has been observed that, population of both susceptible and infected rodents minimizes when we apply optimal control.
Classification : 34AXX, 03-XX, 26AXX
Author(s) :
- Yogita Mahesh Mahatekar (COEP Technological University)
- Amey Deshpande (MIT World peace University)

Session Date & Time : 3D (Aug.23, 15:30-17:10)
Type : Contributed Talk
Abstract : We analytically and numerically study Order reconstruction (OR) solutions within the Landau-de Gennes theory for nematic liquid crystals in long shallow channel geometries. OR solutions describe liquid crystal polydomains, i.e., subdomains of distinct director orientation separated by domain walls. Such solutions are of interest due to their potential applications in drug delivery technologies and optical devices for instance. We investigate OR solutions in different physical settings: nematic liquid crystals, passive and active nematodynamics, and ferronematics.
Classification : 34E10, 76A15, 34A99
Author(s) :
- James Dalby (University of Strathclyde)

Session Date & Time : 3D (Aug.23, 15:30-17:10)
Type : Contributed Talk
Abstract : We develop a mathematical network model based on balance non-linear first order ordinary differential equations to study large-scale simultaneous mRNA translation in the cell. The central feature of the model is that it is a cooperative system and this property guarantees the monotonicity of the flow. We derive that trajectories within each level set of the first integral globally converge to the fixed point. One of our findings is that raising the drop-off rate in an mRNA that is "jammed" by ribosomes can increase the network's overall protein synthesis rate.
Classification : 34E10, 37N25, 92-10, 93D20
Author(s) :
- Aditi Jain (IIT Ropar)
- Michael Margaliot (Tel Aviv University)
- Arvind Kumar Gupta (IIT Ropar)

Session Date & Time : 3D (Aug.23, 15:30-17:10)
Type : Contributed Talk
Abstract : We develop a model system of ODEs describing motions of bubbles interacting through the emission of sound waves of finite speed. In particular of the case of two bubbles, they fall into a state of synchronization, where the limit phase difference is 0 or $\pi$ depending on the distance of the bubbles. We elucidate the mechanism by the analysis of the phase coupling function, and from the physical viewpoint.
Classification : 34E13, 35Q31, 76N30
Author(s) :
- Masashi Ohnawa (Tokyo University of Marine Science and Technology)

Session Date & Time : 3D (Aug.23, 15:30-17:10)
Type : Industrial Contributed Talk
Abstract : Cocoa is a delicate crop which is of great economic importance in Africa and is predominantly grown for export. However, there have been declines in production and many factors have been identified to be responsible. A significant factor is the effect of climate variation as this can result in a low farm-level yield. To understand the contribution of the variability, we construct and analyse a time-delayed model for the effect of rainfall on cocoa production.
Classification : 34Exx
Author(s) :
- Oluwatosin Babasola (University of Bath)
- Chris Budd (University of Bath)