Influence of urbanization and climate change on the human population through a mathematical modeling
-
Anikat
Abstract
In the theory of ecology, urbanization and climate change are among the most important fundamental factors for environmental pollution, making it impossible for population to survive for a long time. These natural factors address many of the human diseases caused by unplanned urbanization. After the famous work of A. Tandon and K. Jyotsna, researchers have gained attention in this particular area, where the susceptible population becomes infected due to an increment in bacterial population, but the study of the bacterial population due to unplanned urbanization has not yet been conducted in the literature. This paper is an extended work of [27]. Here we mainly focus on how unplanned urbanization affects the dynamics of the considering model and leads to a change in climate. This particular proposal proposes a mathematical model to see the effect of climate change due to unplanned urbanization on the human population by introducing some treatment functions. Further, we investigate the boundedness conditions and local and global stability conditions of nonnegative equilibrium points. Finally, the ecological significance of observations is discussed in the conclusions section, along with a numerical simulation of the obtained analytical results.
Abstract
In the theory of ecology, urbanization and climate change are among the most important fundamental factors for environmental pollution, making it impossible for population to survive for a long time. These natural factors address many of the human diseases caused by unplanned urbanization. After the famous work of A. Tandon and K. Jyotsna, researchers have gained attention in this particular area, where the susceptible population becomes infected due to an increment in bacterial population, but the study of the bacterial population due to unplanned urbanization has not yet been conducted in the literature. This paper is an extended work of [27]. Here we mainly focus on how unplanned urbanization affects the dynamics of the considering model and leads to a change in climate. This particular proposal proposes a mathematical model to see the effect of climate change due to unplanned urbanization on the human population by introducing some treatment functions. Further, we investigate the boundedness conditions and local and global stability conditions of nonnegative equilibrium points. Finally, the ecological significance of observations is discussed in the conclusions section, along with a numerical simulation of the obtained analytical results.
Chapters in this book
- Frontmatter I
- Contents V
- Fixed points and their geometric properties for interpolative contravariant mappings 1
- Coupled fixed point theorems for F-contraction mappings in S-metric spaces 15
-
Fixed point theorems in convex
- Image formulae for the Saigo fractional q-derivative operator with basic hypergeometric series 55
- A result on solvability for a class of nonlinear fractional integral equations in a Banach space 73
- Solvability of Hadamard fractional integral equations via fixed point theorem 87
- Improved pseudospectral approximation for nonlinear parabolic equation 99
-
Analysis of atmospheric
- A numerical scheme based on Galerkin method for solving singularly perturbed differential equation with mixed shifts 127
- Influence of urbanization and climate change on the human population through a mathematical modeling 143
- Effect of preservation on an EPQ model with selling and credit period-dependent demand under carbon tax policy 157
- Optimal homotopy solution of the sine-Gordon equation 175
- Significance of chemical interactions and thermal transpiration on transient MHD-free convective heat and mass transport over an infinite plate via porous media 191
Chapters in this book
- Frontmatter I
- Contents V
- Fixed points and their geometric properties for interpolative contravariant mappings 1
- Coupled fixed point theorems for F-contraction mappings in S-metric spaces 15
-
Fixed point theorems in convex
- Image formulae for the Saigo fractional q-derivative operator with basic hypergeometric series 55
- A result on solvability for a class of nonlinear fractional integral equations in a Banach space 73
- Solvability of Hadamard fractional integral equations via fixed point theorem 87
- Improved pseudospectral approximation for nonlinear parabolic equation 99
-
Analysis of atmospheric
- A numerical scheme based on Galerkin method for solving singularly perturbed differential equation with mixed shifts 127
- Influence of urbanization and climate change on the human population through a mathematical modeling 143
- Effect of preservation on an EPQ model with selling and credit period-dependent demand under carbon tax policy 157
- Optimal homotopy solution of the sine-Gordon equation 175
- Significance of chemical interactions and thermal transpiration on transient MHD-free convective heat and mass transport over an infinite plate via porous media 191
