# Registered Data

Contents

- 1 [CT189]
- 1.1 [01250] Boundary Stabilization of Polynomial Reaction Diffusion Equations
- 1.2 [01401] Mass-Transfer on Ultrasound-Assisted Biodiesel Production from J.Oil through Process optimization
- 1.3 [01947] The biting rate of Aedes aegypti and its variability: A systematic review (1970 - 2022)
- 1.4 [00469] A Mathematical and Exploratory Data Analysis of Malaria Disease Transmission Through Blood Transfusion
- 1.5 [00470] Mathematical and Exploratory Data Analysis on Blood Transfusion Transmitted Malaria

# [CT189]

## [01250] Boundary Stabilization of Polynomial Reaction Diffusion Equations

**Session Date & Time**: 3E (Aug.23, 17:40-19:20)**Type**: Contributed Talk**Abstract**: We show how to stabilize a polynomial reaction diffusion system using boundary control, integration by parts, completing the square and an infinite dimensional extension of Al'brekht's method.**Classification**:__93-08__,__49-04__**Author(s)**:**Arthur J Krener**(Naval Postgraduate School)

## [01401] Mass-Transfer on Ultrasound-Assisted Biodiesel Production from J.Oil through Process optimization

**Session Date & Time**: 3E (Aug.23, 17:40-19:20)**Type**: Industrial Contributed Talk**Abstract**: A three-step transesterification process using ultrasound is performed through mathematical modeling in presence of KOH catalyst for Production of Biodiesel. We investigated mass transfer effect between Jatropha oil and methanol considering ultrasound with temperature and oil-to-methanol molar ratio through Reynold's and Schmidt's Number. Application of optimal control approach maximize the production of biodiesel at minimum cost reveals that 98% biodiesel yield at 48 kHz, methanol-to-oil molar ratio 5:1 with 50oC through analytical and numerical analysis.**Classification**:__93-10__,__Mathematical modeling or simulation for problems pertaining to systems and control theory__**Author(s)**:**PRITI KUMAR ROY**(JADAVPUR UNIVERSITY)- SK MOSARAF AHAMMED (Jadavpur University)

## [01947] The biting rate of Aedes aegypti and its variability: A systematic review (1970 - 2022)

**Session Date & Time**: 3E (Aug.23, 17:40-19:20)**Type**: Contributed Talk**Abstract**: The mosquito biting rate ((MBR)) is an important parameter in transmission modeling studies. Modeling studies obtain biting rate values from various types of studies. We perform a systematic review to understand how MBR value of Ae. aegypti is estimated across studies. Our review reinforces the importance of engaging with vector biology when using mosquito biting data in transmission modeling studies. To address various variabilities, we also advocate for site-specific data to estimate the biting rate.**Classification**:__93-10__**Author(s)**:**MONDAL HASAN ZAHID**(Department of Biology & Emerging Pathogens Institute, University of Florida)- Hannah Van Wyk (Department of Epidemiology, University of Michigan)
- Amy C Morrison (Department of Pathology, Microbiology, and Immunology, University of California Davis)
- Josefina Coloma (Division of Infectious Diseases and Vaccinology, University of California Berkeley)
- Gween O Lee (Rutgers Global Health Institute, Rutgers University)
- Varsovia Cevallos (Instituto Nacional de Investigación en Salud Pública, Quito)
- Patricio Ponce (Instituto Nacional de Investigación en Salud Pública, Quito)
- Joseph Eisenberg (Department of Epidemiology, University of Michigan)

## [00469] A Mathematical and Exploratory Data Analysis of Malaria Disease Transmission Through Blood Transfusion

**Session Date & Time**: 3E (Aug.23, 17:40-19:20)**Type**: Contributed Talk**Abstract**: Malaria is a mosquito-borne disease spread by an infected vector (infected female Anopheles mosquito) or through transfusion of plasmodium-infected blood to susceptible individuals. The disease burden has resulted in high global mortality, particularly among children under the age of five. Many intervention responses have been implemented to control malaria disease transmission, including blood screening, Long-Lasting Insecticide Bed Nets (LLIN), treatment with an anti-malaria drug, spraying chemicals/pesticides on mosquito breeding sites, and indoor residual spray, among others. As a result, a SIR (Susceptible - Infected - Recovered) model is developed to study the impact of various malaria control and mitigation strategies. The associated basic reproduction number and stability theory is used to investigate the stability analysis of the model equilibrium points. The global stability of the malaria-free equilibrium is investigated by constructing an appropriate Lyapunov function. By determining the direction of bifurcation, the implicit function theorem is used to investigate the stability of the model endemic equilibrium. Using R and MATLAB, the model is fitted to malaria data from Benue State, Nigeria. Estimates of parameters were made. An optimal control model is then developed and analyzed using Pontryaging's Maximum Principle. The malaria-free equilibrium point is locally and globally stable if the basic reproduction number $(R_{0})$ and the blood transfusion reproduction number $(R_{\alpha})$ are both less or equal to unity. The study of the sensitive parameters of the model revealed that the transmission rate of malaria from mosquito-to-human $(\beta_{mh})$, transmission rate from humans-to-mosquito $(\beta_{hm})$, blood transfusion reproduction number $(R_{\alpha})$ and recruitment rate of mosquitoes $(b_{m})$ are all sensitive parameters capable of increasing the basic reproduction number $(R_{0})$ thereby increasing the risk in spreading malaria disease. The result of the optimal control shows that five possible controls are effective in reducing the transmission of malaria. The study recommended the combination of five controls, followed by the combination of four and three controls is effective in mitigating malaria transmission. The result of the optimal simulation also revealed that for communities or areas where resources are scarce, the combination of Long Lasting Insecticide Treated Bednets $(u_{2})$, Treatment $(u_{3})$, and Indoor insecticide spray $(u_{5})$ is recommended. Numerical simulations are performed to validate the model's analytical results.**Classification**:__93-xx__,__93-10__,__Mathematical modeling or simulation for problems pertaining to systems and control theory__**Author(s)**:**Michael Olaniyi Adeniyi**(Lagos State University of Science and Technology)- Raphael Oluwaseun Aderele (Lagos State University of Science and Technology )
- Olajumoke Y Oludoun (Department of Mathematics, Bowen University, Iwo, Nigeria)
- Matthew Iwada Ekum (Lagos State University of Science and Technology)
- Segun Isaac Oke (Department of Mathematics, Ohio University, Athens, OH 45701-2979, USA)

## [00470] Mathematical and Exploratory Data Analysis on Blood Transfusion Transmitted Malaria

**Session Date & Time**: 3E (Aug.23, 17:40-19:20)**Type**: Contributed Talk**Abstract**: Malaria is a disease spread by an infected mosquito or through transfusion of plasmodium-infected blood to susceptible individuals. Many interventions have been implemented to control malaria transmission, including blood screening, Long-Lasting Insecticide Bed Nets (LLIN), treatment with an anti-malaria drug, spraying chemicals/pesticides on mosquito breeding sites, and indoor residual spray, among others. As a result, a deterministic model is developed to study the impact of various malaria control and mitigation strategies against malaria transmission.**Classification**:__93-xx__,__93-10__,__Mathematical modeling or simulation for problems pertaining to systems and control theory__**Author(s)**:**Michael Olaniyi Adeniyi**(Lagos State University of Science and Technology)- Raphael Oluwaseun Aderele (Lagos State University of Science and Technology )
- Olajumoke Y Oludoun (Department of Mathematics, Bowen University, Iwo, Nigeria)
- Matthew Iwada Ekum (Lagos State University of Science and Technology)
- Segun Isaac Oke (Department of Mathematics, Ohio University, Athens, OH 45701-2979, USA)