Every organization needs inventory for smooth running of its activities. It serves between
production and distribution process. The investment in inventories constitutes the most
significant part of current assets and ...
This dissertation presents fitted mesh numerical methods for the solution of a specific class
of two-parameter singularly perturbed second-order boundary value problems in ordinary
differential equations. These problems ...
Urban traffic congestion is becoming a major issue, resulting in prolonged travel times,
air pollution, fuel consumption, and driver resentment, which is frequently created by
vehicles searching for vacant parking ...
Dynamic programming (DP) is a powerful algorithmic paradigm used to solve complex optimization problems by breaking them down into simpler subproblems. This approach is particularly effective for problems exhibiting ...
In this thesis I will introduce reviews application areas where quadratic programming has
been effectively applied. Quadratic programming is a specialized area of mathematical optimization that focuses on problems where ...
Fractional programming (FP) involves optimization problems where the objective
function or constraints are expressed as ratios of two functions, typically of the form
f(x)
g(x), with f(x) and g(x) being continuous ...
Integer programming (IP) is a branch of Mathematical optimization where the objective is to
find the best solution from a finite set of feasible solutions, subject to a set of constraints, with
the decision variables ...
This thesis examines a prey-predator system subjected to harvesting, with a focus on the
influence of effort allocation between prey and predator harvesting. Using a modified deterministic mathematical model, we have ...
Ecological communities face significant challenges from human-induced pressures such as
overharvesting and environmental pollution, threatening the stability and coexistence of
two-species systems. This thesis investigates ...
In this work, we study a three-species plankton-fish system in a polluted environment with
linear harvesting and pollution reduction efforts. We considered a deterministic model
consisting of a system of three nonlinear ...
This thesis examines a predator-prey system incorporating a strong Allee effect on the prey
population, environmental pollution, and a combined strategy of harvesting and pollution
reduction efforts. A modified deterministic ...
Fixed point theory is a fundamental method in the solution analysis of mathematical problems arising in nonlinear differential equations for which it may appear extremely difficult
to find an explicit solution. This ...
Alien invasive species significantly impact the growth rate and yield of native fish populations in harvesting systems. Reducing invasive species is expected to alleviate pressure on
native fish, enhancing both their stock ...
The Ulam-Kakutani Collatz Conjecture
The Ulam-Kakutani Collatz conjecture explores the behavior of sequences generated
by the Collatz function, defined as follows: For any positive integer n,
f(n) =
8><>:
n2
; if n ...
Water allocation under conflicting demand and supply have increased in frequency and geographic coverage areas in recent decades as results of rising population demand, urbanization, industrialization, and climate change ...
The main contribution of this study is to explore an analytical framework for solving
time-fractional third-order PDEs in one and two dimensions using Laplace Adomain
decomposition Method (LADM) and q-Homotopy Analysis ...
Maize is one of the most important food sources and cash crops globally, playing a critical
role in ensuring food security worldwide. To increase crop yields, agrochemicals are widely
used. However, while these inputs ...
In this thesis, we study a three-dimensional deterministic model that incorporates resource
biomass, pollutant stock, and harvesting effort to analyze resource dynamics. By considering effort allocation between harvesting ...
This study deals with the dynamics and optimal harvesting of a prey-predator system
in the presence of combined harvesting, toxicity, and taxation. The predator is assumed to be partially dependent on the prey species, ...
Afunctional Alexandroff space is a specialized topological structure that generalizes the notion of Alexandroff spaces. The focus is on the interplay between topology and functional
analysis, often involving the behavior ...