Mathematical Model Applied to Green Building Concept for Sustainable Cities Under Climate Change




Green Building, Sustainable Cities, Climate Change, Mathematical Model, Numerical Simulations


Recently the effect of greenhouse gases (GHGs) is worldwide terrified anxiety to the public and scholars. Even this global problem is one of the great issues that continuously makes worrying the governments and environmentalists, but its solution findings are not out of the image at all. In this study, we have proposed and analysed a mathematical model for the solvable management of GHGs by sowing the seeds of green building dynamic systems. Moreover, in the model, the human community is used to enhance the production power of individuals of green buildings by absorbing the GHGs. The model is analysed by stability analysis at the equilibrium points: trivial and global equilibrium, and also by convincing the stability and instability of the system of equations. The behaviour of the propound model has been developed by numerical simulations which shows the rate of the fruitfulness of GHG components.


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Author Biography

Professor Dr. Md. Haider Ali Biswas, Mathematics Discipline, Science Engineering and Technology School, Khulna University, Khulna-9208, Bangladesh

Dr. Md. Haider Ali Biswas is currently affiliated with Khulna University, Bangladesh as a Professor of Mathematics under Science Engineering and Technology School and he served as the Head of Mathematics Discipline from 2015 to 2018. Prof. Biswas obtained his B Sc (Honors) in Mathematics and M Sc in Applied Mathematics in the year 1993 and 1994 respectively from the University of Chittagong, Bangladesh, M Phil in Mathematics in the year 2008 from the University of Rajshahi, Bangladesh and PhD in Electrical and Computer Engineering from the University of Porto, Portugal in 2013. He has more than 20 years of teaching and research experience in the graduate and post-graduate levels at different public universities in Bangladesh. He published Three Books, Five Book Chapters and more than 150 research papers in peer-reviewed journals and international conferences. Prof. Biswas has worked at several R & D projects at home and abroad as a PI and/or Researcher, particularly he is conducting different research projects funded by the Ministry of Science and Technology, Bangladesh, University Grants Commission of Bangladesh and The World Academy of Science (TWAS), Trieste, Italy. His present research interests include Optimal Control with Constraints, Nonsmooth Analysis, ODEs and Dynamical Systems, Mathematical Modeling, Mathematical Ecology, Environmental modelling and Climate change, Mathematical Biology and Biomedicine, Epidemiology of Infectious Diseases. For the last ten years, Prof. Biswas has been working on the applications of mathematical models for designing and implementing those to real-life problems, especially for the sustainable/optimal management under the changing environment due to global warming. He is the life/general member of several professional societies and/or research organizations like Bangladesh Mathematical Society (BMS), Asiatic Society of Bangladesh (ASB), Institute of Mathematics and its Applications (IMA), UK, European Mathematical Society (EMS) and Society for Mathematical Biology (SMB). Dr. Biswas is the founder member of Mathematical Forum Khulna and served as the General Secretary of the Forum in 2013-2015. Dr. Biswas organized several national and international seminars/workshops/conferences in home and abroad and he has been working as an Editor/Member of editorial boards of several international peer-reviewed journals. Professor Biswas contributed as Keynote/Invited/Plenary/Panel speaker at several international conferences/seminars/workshops at home and abroad. Professor Biswas has been nominated as the Member of the Council of Asian Science Editors (CASE) for 2017-2020 and the Associate Member of the Organization for Women in Science for the Developing World (OWSD) since 2017. Recently, Professor Biswas has been elected as a Member of the Executive Committee of Bangladesh Mathematical Society (BMS) for the year 2020-2021, and also nominated as the Associate Editor of the international journal GANIT- Journal of Bangladesh Mathematical Society (BMS) for the year 2020-2021. Dr. Biswas has been nominated as a Member of the Executive Committee of the IEOM Society, Bangladesh Chapter and also serving as the Treasurer of the IEOM Society, Bangladesh Chapter. He is also serving as the Faculty Advisor of the IEOM Society Khulna University Chapter. Professor Biswas is presently serving as the President of the Bangladesh Society for Mathematical Biology (BSMB) for the year 2020-2022.


Biswas, M. H. A., Hossain, M. R., & Mondal, M. K. (2017). Mathematical modelling applied to sustainable management of marine resources. Procedia Engineering, 194, 337-334.

Biswas, H. A., Rahman, T., & Haque, N. (2016). Modeling the potential impacts of global climate change in Bangladesh: an optimal control approach. Journal of Fundamental and Applied Sciences, 8(1), 1-19.

Broom, D., & Gray, A. (2020). The US is set to rejoin the Paris climate agreement. Here’s what you need to know. Regional Agenda: Environment and Natural Resource Security, Climate Change, GreenHorizon2020. World Economic Forum. Retrieved from:.

Edenhofer, O. R., Pichs-Madruga, R., Sokona, Y., Farahani, E., Kadner, S., Seyboth, K., Adler, A., Baum, I., Brunner, S., Eickemeier, P., Kriemann, B., Savolainen, J., Schlomer, S., Stechow, Z. V., Zwickel, T., & Minx, J. C. (2014). Climate Change 2014: Mitigation of Climate Change. Working Group III Contribution to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, Cambridge, United Kingdom and New York, USA.

Gong, Y., & Song, D. (2015). Life Cycle Building Carbon Emissions Assessment and Driving Factors Decomposition Analysis Based on LMDI—A Case Study of Wuhan City in China. Sustainability, 7(12).

Grant, M., Pitt, H., & Larsen, K. (2021). Preliminary 2020 Greenhouse Gas Emissions Estimates for China. Rhodium Group, New York.

Gul, M. S., & Patidar, S. (2015). Understanding the energy consumption and occupancy of a multi-purpose academic building. Energy and Buildings, 87, 155-165.

Hanley, M. (2015). Which countries emit the most greenhouse gas? Global Agenda: Environment and Natural Resource Security, Global Governance, World Economic Forum.

Hausfather, Z. (2020). 2020 is on course to be the warmest year on record. Global Agenda: Environment and Natural Resource Security, Decarbonizing Energy, World Economic Forum.

Hethcote, H. W., & van den Driessche, P. (1995). An SIS epidemic model with variable population size and a delay. Journal of Mathematical Biology, 34, 177-194.

Islam, A., & Biswas, M. H. A. (2020). Modeling the Effect of Global Warming on the Sustainable Groundwater Management: A Case Study in Bangladesh WSEAS TRANSACTIONS on MATHEMATICS, 19, 639-646.

Jaffal, I., Ouldboukhitine, S.-E., & Belarbi, R. (2012). A comprehensive study of the impact of green roofs on building energy performance. Renewable Energy, 43, 157-164.

Kara, B. (2019). The impact of globalization on cities. Journal of Contemporary Urban Affairs, 3(2), 108-113.

Kaygusuz, K. (2007). Energy for Sustainable Development: Key Issues and Challenges. Energy Sources, Part B: Economics, Planning, and Policy, 2(1), 73-83.

Larsen, K., Pitt, H., Grant, M., & Houser, T. (2021). China’s Greenhouse Gas Emissions Exceeded the Developed World for the First Time in 2019. Rhodium Group, New York.

Lebling, K., Friedrich, J., & Waite, R. (2020). Climate action must progress far faster to achieve 1.5°C goal. Global Agenda: Environment and Natural Resource Security, Green New Deals, World Economic Forum.

Liu, H., & Lin, B. (2016). Ecological indicators for green building construction. Ecological Indicators, 67, 68-77.

Mandal, S., Islam, M. S., & Biswas, M. H. A. (2020). Modeling the Impact of Carbon Dioxide on Marine Plankton. INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTERS IN SIMULATION, 14, 197-202.

Mandal, S., Islam, M. S., & Biswas, M. H. A. (2021). Modeling the potential impact of climate change on living beings near coastal areas. Modeling Earth Systems and Environment, 7(3), 1783-1796.

Marchetti, C., Meyer, P. S., & Ausubel, J. H. (1996). Human population dynamics revisited with the logistic model: How much can be modeled and predicted? Technological Forecasting and Social Change, 52(1), 1-30.

Mardiana, A., & Riffat, S. B. (2013). Review on physical and performance parameters of heat recovery systems for building applications. Renewable and Sustainable Energy Reviews, 28, 174-190.

Metz, B., Davidson, O., Bosch, P., Dave, R., & Meyer, L. (2007). Climate Change 2007: Mitigation of Climate Change. Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA.

Mondal, M. K., Hanif, M., & Biswas, M. H. A. (2017). A mathematical analysis for controlling the spread of Nipah virus infection. International Journal of Modelling and Simulation, 37(3), 185-197.

Nyári, J. (2011). Carbon footprint of construction products: a comparison of application of individual Environmental Product Declarations and Building Information Modeling software.

Pacala, S., & Socolow, R. (2004). Stabilization Wedges: Solving the Climate Problem for the Next 50 Years with Current Technologies. Science, 305(5686), 968-972.

Pal, S. K. D. (2017). Feasibility of a Carbon Consumption Tax for sustainable development–A case study of India. Journal of Contemporary Urban Affairs, 1(3), 18-23.

Parvin, T., Islam, A., Mondal, P. K., & Biswas, M. H. A. (2020). Discrete Type SIR Epidemic Model with Nonlinear Incidence Rate in Presence of Immunity. WSEAS TRANSACTIONS on BIOLOGY and BIOMEDICINE, 17, 104-118.

Pollack, H. N., Hurter, S. J., & Johnson, J. R. (1993). Heat flow from the Earth's interior: analysis of the global data set. Reviews of Geophysics, 31(3), 267-280.

Rahbarianyazd, R., & Raswol, L. (2018). Evaluating energy consumption in terms of climatic factors: A case study of Karakol residential apartments, Famagusta, North Cyprus. Journal of Contemporary Urban Affairs, 2(1), 45-54.

Reddy, S. (2016). The environmental benefits of building green-an overview. International Journal of Engineering and Management Research (IJEMR), 6(6), 109-113.

Reza, A. K., Islam, M. S., & Shimu, A. A. (2017). Green Industry in Bangladesh: An Overview. Environmental Management and Sustainable Development, 6(2), 124-143.

Rezaie, B., Esmailzadeh, E., & Dincer, I. (2011). Renewable energy options for buildings: Case studies. Energy and Buildings, 43(1), 56-65.

Röck, M., Saade, M. R. M., Balouktsi, M., Rasmussen, F. N., Birgisdottir, H., Frischknecht, R., Habert, G., Lützkendorf, T., & Passer, A. (2020). Embodied GHG emissions of buildings – The hidden challenge for effective climate change mitigation. Applied Energy, 258(114107), 1–12.

Roper, W. (2021). This chart shows how global temperatures have risen since 1950. Global Agenda: Climate indicators, How to save the planet, World Economic Forum.

Roston, E. (2021). 2020 Ties for Hottest Year in the Hottest Decade Ever. Climate Adaptation, Bloomberg Green.

Sasanpour, F. (2017). Livable city one step towards sustainable development. Journal of Contemporary Urban Affairs, 1(3), 13-17.

Shanta, S. S., & Biswas, M. H. A. (2020). The impact of media awareness in controlling the spread of infectious diseases in terms of SIR model. Mathematical Modelling of Engineering Problems, 7(3), 368-376.

Shawkat, L. W., Al-Din, S. S. M., & Kuzović, D. (2018). Opportunities for Practicing Sustainable Building Construction in Kurdistan Region, Iraq. Journal of Contemporary Urban Affairs, 2(1), 69-101.

Smeets, E. M. W., Faaij, A. P. C., Lewandowski, I. M., & Turkenburg, W. C. (2007). A bottom-up assessment and review of global bio-energy potentials to 2050. Progress in Energy and Combustion Science, 33(1), 56-106.

Sovacool, B. K., & Brown, M. A. (2010). Twelve metropolitan carbon footprints: A preliminary comparative global assessment. Energy Policy, 38(9), 4856-4869.

Tathagat, D., & Dod, R. D. (2015). Role of green buildings in sustainable construction-need, challenges and scope in the Indian scenario. IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) 12(2), 01-09.

Wang, S., Fang, C., Guan, X., Pang, B., & Ma, H. (2014). Urbanisation, energy consumption, and carbon dioxide emissions in China: A panel data analysis of China’s provinces. Applied Energy, 136, 738-749.

Wu, X., Peng, B., & Lin, B. (2017). A dynamic life cycle carbon emission assessment on green and non-green buildings in China. Energy and Buildings, 149, 272-281.

Yau, Y. H., & Hasbi, S. (2013). A review of climate change impacts on commercial buildings and their technical services in the tropics. Renewable and Sustainable Energy Reviews, 18, 430-441.

Yilmaz, D. G. (2021). Model Cities for Resilience: Climate-led Initiatives. Journal of Contemporary Urban Affairs, 5(1), 47-58.

Zhao, L., Oleson, K., Bou-Zeid, E., Krayenhoff, E. S., Bray, A., Zhu, Q., Zheng, Z., Chen, C., & Oppenheimer, M. (2021). Global multi-model projections of local urban climates. Nature Climate Change, 11, 152-157.

Zhu, C., & Yin, G. (2009). On competitive Lotka–Volterra model in random environments. Journal of Mathematical Analysis and Applications, 357(1), 154-170.



How to Cite

Biswas, M. H. A., Dey, P. R., Islam, M. S., & Mandal, S. (2022). Mathematical Model Applied to Green Building Concept for Sustainable Cities Under Climate Change. Journal of Contemporary Urban Affairs, 6(1), 36–50.