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

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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Dynamics in Bank Crisis Model

Mathematical Problems in Engineering ◽

10.1155/2015/378463 ◽

2015 ◽

Vol 2015 ◽

pp. 1-5 ◽

Cited By ~ 2

Author(s):

Tianshu Jiang ◽

Mengzhe Zhou ◽

Bi Shen ◽

Wendi Xuan ◽

Sijie Wen ◽

...

Keyword(s):

Mathematical Model ◽

Complex Networks ◽

Critical Point ◽

Dynamic Systems ◽

Degree Distribution ◽

Equilibrium Points ◽

Modified Model ◽

The Past ◽

Banking Market ◽

The Stability

Bank crisis is grabbing more serious attention as several financial turmoils have broken out in the past several decades, which leads to a number of researches in this field. Comparing with researches carried out on basis of degree distribution in complex networks, this paper puts forward a mathematical model constructed upon dynamic systems, for which we mainly focus on the stability of critical point. After the model is constructed to describe the evolution of the banking market system, we devoted ourselves to find out the critical point and analyze its stability. However, to refine the stability of the critical point, we add some impulsive terms in the former model. And we discover that the bank crisis can be controlled according to the analysis of equilibrium points of the modified model, which implies the interference from outside may modify the robustness of the bank network.

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On the stability of a mathematical model for HIV(AIDS) - cancer dynamics

Mathematical Modeling and Computing ◽

10.23939/mmc2021.04.783 ◽

2021 ◽

Vol 8 (4) ◽

pp. 783-796

Author(s):

H. W. Salih ◽

◽

A. Nachaoui ◽

Keyword(s):

Mathematical Model ◽

Highly Active Antiretroviral Therapy ◽

Lyapunov Method ◽

Equilibrium Points ◽

Hiv Treatment ◽

Biochemical Processes ◽

Highly Active ◽

Biological Phenomena ◽

The Stability ◽

The Impact

In this work, we study an impulsive mathematical model proposed by Chavez et al. [1] to describe the dynamics of cancer growth and HIV infection, when chemotherapy and HIV treatment are combined. To better understand these complex biological phenomena, we study the stability of equilibrium points. To do this, we construct an appropriate Lyapunov function for the first equilibrium point while the indirect Lyapunov method is used for the second one. None of the equilibrium points obtained allow us to study the stability of the chemotherapeutic dynamics, we then propose a bifurcation of the model and make a study of the bifurcated system which contributes to a better understanding of the underlying biochemical processes which govern this highly active antiretroviral therapy. This shows that this mathematical model is sufficiently realistic to formulate the impact of this treatment.

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Barriers to the Diffusion and Adoption of Green Buildings in Saudi Arabia

Journal of Management and Sustainability ◽

10.5539/jms.v5n4p104 ◽

2015 ◽

Vol 5 (4) ◽

pp. 104 ◽

Cited By ~ 8

Author(s):

Ibrahim Mosly

Keyword(s):

Saudi Arabia ◽

Water Conservation ◽

Green Building ◽

Green Buildings ◽

Government Policies ◽

Research Approach ◽

The Public ◽

Environmental Disasters ◽

The Us ◽

And Diffusion

<p>Many countries around the globe have recently pursued sustainability. The public and governments are demanding sustainability due to worldwide environmental disasters caused by pollution and man-made activities that impact the ecological system. Green buildings represent a significant component of sustainability, as their construction is intended to reduce natural resources consumption through energy and water conservation. Saudi Arabia is one of the world’s richest countries, but its number of certified green buildings is notably low. In addition, all of these buildings are certified by the US Green Building Council LEED rating system and not by a national organization. It seems that numerous barriers exist, slowing the development and diffusion of green buildings in Saudi Arabia. Through a systematic qualitative research approach, this research aims to explore barriers to the diffusion and adoption of green buildings in Saudi Arabia, which will facilitate the development of green buildings in Saudi Arabia. This research concludes the identification of 14 green building barriers, with lack of skilled personal and unsupportive government policies and regulations being the most significant barriers.</p>

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Experimental and Mathematical Model for the Antimalarial Activity of Methanolic Root Extract of Azadirachta indica (Dongoyaro) in Mice Infected with Plasmodium berghei NK65

Journal of Advances in Mathematics and Computer Science ◽

10.9734/jamcs/2020/v35i530283 ◽

2020 ◽

pp. 68-82

Author(s):

Adeniyi Michael Olaniyi ◽

Momoh Johnson Oshiobugie ◽

Aderele Oluwaseun Raphael

Keyword(s):

Mathematical Model ◽

Azadirachta Indica ◽

Plasmodium Berghei ◽

Antimalarial Activity ◽

Equilibrium Points ◽

Standard Procedure ◽

Root Extract ◽

Globally Asymptotically Stable ◽

The Stability ◽

Group B

The study determines the experimental and mathematical model for the anti-plasmodial activity of methanolic root extract of Azadirachta indica in Swiss mice infected with Plasmodium berghei NK65. Phytochemical analyses, antimalarial activity of the methanolic root extract of A. indica was determined in mice infected with Plasmodium berghei NK65 using standard procedure. Liver biomarker enzymes were also determined. The model P. berghei induced free and P. berghei infected equilibrium were determined. The stability of the model equilibrium points was rigorously analyzed. The phytochemicals present in the extract include: alkaloid, flavonoid, saponin and phenolic compounds etc. The experimental study consists of five groups of five mice each per group. Group A, B, C, D and E were healthy, infected without treatment, infected mice treated with fansidar (10 mg/kg), chloroquine (10 mg/kg) and 250 mg/kg body weight of A. indica methanolic root extract respectively. The extract showed anti-plasmodial activity of 73.96%. The result was significant when compared with group B mice, though it was lower than that exhibited by fansidar (88.91%) and chloroquine (92.18%) for suppressive test. There were significant decrease (P<0.05) in plasma AST and ALT levels in the treated infected mice compared to the infected untreated mice. The results of the model showed that the P.berghei induced free equilibrium is locally and globally asymptotically stable at threshold parameter, less than unity and unstable when is greater than unity. Numerical simulations were carried out to validate the analytic results which are in agreement with the experimental analysis of this work.

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Analysis of the SARS-CoV-2 Outbreak in Northern Cyprus using a Mathematical Model

10.21203/rs.3.rs-28213/v1 ◽

2020 ◽

Author(s):

Tamer Sanlidag ◽

Nazife Sultanoglu ◽

Bilgen Kaymakamzade ◽

Evren Hincal ◽

Murat Sayan ◽

...

Keyword(s):

Mathematical Model ◽

Basic Reproduction Number ◽

Reproduction Number ◽

Equilibrium Points ◽

Real Data ◽

Northern Cyprus ◽

The Stability ◽

Disease Free ◽

The Basic Reproduction Number

Abstract The present study studied the dynamics of SARS-CoV-2 in Northern-Cyprus (NC) by using real data and a designed mathematical model. The model consisted of two equilibrium points, which were disease-free and epidemic. The stability of the equilibrium points was determined by the magnitude of the basic reproduction number (𝑹𝟎). If 𝑹𝟎 < 1, the disease eventually disappears, if 𝑹𝟎 ≥ 1, the presence of an epidemic is stated. 𝑹𝟎 has been calculated patient zero, with a range of 2.38 to 0.65. Currently, the 𝑹𝟎 for NC was found to be 0.65, indicating that NC is free from the SARS-CoV-2 epidemic.

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Analysis of the SARS-CoV-2 Outbreak in Northern Cyprus using a Mathematical Model

10.21203/rs.3.rs-28704/v1 ◽

2020 ◽

Author(s):

Tamer Sanlidag ◽

Nazife Sultanoglu ◽

Bilgen Kaymakamzade ◽

Evren Hincal ◽

Murat Sayan ◽

...

Keyword(s):

Mathematical Model ◽

Basic Reproduction Number ◽

Reproduction Number ◽

Equilibrium Points ◽

Real Data ◽

Northern Cyprus ◽

The Stability ◽

Disease Free ◽

The Basic Reproduction Number

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Fuzzy Parameter Based Mathematical Model on Forest Biomass

Biophysical Reviews and Letters ◽

10.1142/s1793048018500108 ◽

2018 ◽

Vol 13 (04) ◽

pp. 179-193 ◽

Cited By ~ 3

Author(s):

Prabir Panja

Keyword(s):

Numerical Simulation ◽

Mathematical Model ◽

Time Delay ◽

Human Population ◽

Equilibrium Points ◽

Forest Biomass ◽

Simulation Results ◽

The Stability ◽

Fuzzy Parameter

In this paper, a fuzzy mathematical model has been developed by considering forest biomass, human population and technological effort for the conservation of forest biomass as separate compartments. We have assumed that the forest biomass and human population grows logistically. We have considered that forest biomass decreases due to industrialization, food, shelter, etc., for humans. For the conservation of forest biomass, some modern technological efforts have been used in this model. Also, time delay of use of modern technological effort for the conservation of forest biomass has been considered on forest biomass. According to the assumptions, a fuzzy mathematical model on forest biomass is formulated. Next we have determined different possible equilibrium points. Also, the stability of our proposed system around these equilibrium points has been discussed. Finally, some numerical simulation results have been presented for better understanding of our proposed mathematical model.

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A Mathematical Model of Platelet Antiparasitic Action in Erythrocytes and Merozoites During Malaria Infection

10.1101/2021.01.25.21250444 ◽

2021 ◽

Author(s):

Felipe Alves Rubio ◽

Hyun Mo Yang

Keyword(s):

Mathematical Model ◽

Infection Control ◽

Blood Cells ◽

Malaria Infection ◽

Equilibrium Points ◽

Oscillatory Behavior ◽

System Of Equations ◽

Giant Platelets ◽

The Stability ◽

Infectious Form

AbstractPlatelets have been seen traditionally as fragments of blood mediating coagulation. However, evidence during malaria infection suggests that platelets also act against merozoites, an infectious form of malaria in the bloodstream, and megakaryocytes can release giant platelets with a larger volume than normal platelets. We propose a mathematical model to study the interaction between red blood cells, merozoites, and platelets during malaria infection. We analyzed two cases of the interaction of platelets with malaria infection. In the first one, we considered the isolated action of normal platelets and, in the second one, the joint antiparasitic action of both normal and giant platelets. Numerical simulations were performed to evaluate the stability of the equilibrium points of the system of equations. The model showed that the isolated antiparasitic action of normal platelets corroborates malaria infection control. However, the system can converge to a presence-merozoite equilibrium point, or an oscillatory behavior may appear. The joint antiparasitic action of both normal and giant platelets eliminated the oscillatory behavior and drove the dynamics to converge to lower parasitic concentration than the case of isolated action of normal platelets. Moreover, the joint antiparasitic action of platelets proved more easily capable of eliminating the infection.

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Dynamic Systems - Applications in Economy and in Technology

Advances in Science and Technology ◽

10.4028/www.scientific.net/ast.110.9 ◽

2021 ◽

Vol 110 ◽

pp. 9-14

Author(s):

Dumitru Bălă

Keyword(s):

Mathematical Model ◽

Dynamic Systems ◽

Function Method ◽

Stability Study ◽

Regression Method ◽

Tourism Activity ◽

The Stability ◽

The Mathematical Model ◽

The Way

In this paper, starting from recent data provided by the National Institute of Statistics, we analyze the tourism activity in Mehedinți County. We apply the regression method and analyze some models. We also compare the economic results with those of previous years. Also, in this paper we study the stability of dynamic systems with applications in economics. The stability study is done using the Leapunov function method. The originality of the paper consists in the way we choose the mathematical model in case of regression and in the way we choose the Leapunov function in case of dynamic systems in which we analyze stability.

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The Importance of the Appearance Image and Cognition of Green Building

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.496-500.2544 ◽

2014 ◽

Vol 496-500 ◽

pp. 2544-2548

Author(s):

Ying Ming Su ◽

Yi Ping Tsai

Keyword(s):

Global Climate ◽

Green Building ◽

Green Buildings ◽

Rating Systems ◽

Visual Appearance ◽

The Public ◽

Sustainable Environment ◽

Significant Relationships ◽

Environmental Cognition ◽

The Relationship

When global climate change becoming a problem that is getting worse nowadays, Green Buildings have become one of the major solutions to maintaining a sustainable environment. Because most of the public interpret the messages sent by their environment through visual appearance and images, This study aims to analyze the appearance effects of U.S. LEED and Taiwan EEWH Green Building rating systems by conducting surveys on the publics cognition of green building appearances and green building rating systems, and analyzing the relationship between green building appearance and environmental cognition. The results indicate that building appearance is a key judgment reference for identifying green buildings. However, there has been no significant relationships found between green building rating system and green building appearances so far, which may cause confusion as to the publics cognition and image of green buildings. Therefore, it is recommended that building's appearance image should be included in future revisions of the green building rating systems.

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