Mathematical Modeling and Analysis of Spatial Neuron Dynamics: Dendritic Integration and Beyond

A problem of the mathematical modeling and analysis of noise-induced transformations of complex oscillatory regimes in hierarchical population systems is considered. As a key example, we use a three-dimensional food chain dynamical model of the interacting prey, predator, and top predator. We perform a comparative study of the impacts of random fluctuations on three key biological parameters of prey growth, predator mortality, and the top predator growth. A detailed investigation of the stochastic excitement, noise-induced transition from order to chaos, and various scenarios of extinction is carried out. Constructive abilities of the semi-analytical method of confidence domains in the analysis of the noise-induced extinction are demonstrated.

Download Full-text

Mathematical modeling and analysis of solid oxide fuel cells and a dye sensitized solar cell

10.17918/etd-3772 ◽

2021 ◽

Author(s):

Mona Bavarian

Keyword(s):

Mathematical Modeling ◽

Fuel Cells ◽

Solar Cell ◽

Solid Oxide Fuel Cells ◽

Solid Oxide ◽

Dye Sensitized Solar Cell ◽

Oxide Fuel ◽

Modeling And Analysis ◽

Dye Sensitized

Download Full-text

Mathematical Modeling and Analysis of Covid-19 Infection spreads in India with Restricted Optimal Treatment on Disease Incidence

BIOMATH ◽

10.11145/j.biomath.2021.06.147 ◽

2021 ◽

Vol 10 (1) ◽

pp. 2106147

Author(s):

Debkumar Pal ◽

D Ghosh ◽

P K Santra ◽

G S Mahapatra

Keyword(s):

Mathematical Modeling ◽

Objective Function ◽

Reproduction Number ◽

Disease Incidence ◽

Treatment Control ◽

Modeling And Analysis ◽

Proposed Model ◽

The Cost ◽

Disease Free ◽

The Basic Reproduction Number

This paper presents the current situation and how to minimize its effect in India through a mathematical model of infectious Coronavirus disease (COVID-19). This model consists of six compartments to population classes consisting of susceptible, exposed, home quarantined, government quarantined, infected individuals in treatment, and recovered class. The basic reproduction number is calculated, and the stabilities of the proposed model at the disease-free equilibrium and endemic equilibrium are observed. The next crucial treatment control of the Covid-19 epidemic model is presented in India's situation. An objective function is considered by incorporating the optimal infected individuals and the cost of necessary treatment. Finally, optimal control is achieved that minimizes our anticipated objective function. Numerical observations are presented utilizing MATLAB software to demonstrate the consistency of present-day representation from a realistic standpoint.

Download Full-text