{"id":9501,"date":"2025-09-23T11:27:16","date_gmt":"2025-09-23T08:27:16","guid":{"rendered":"https:\/\/en.csw.uobaghdad.edu.iq\/?p=9501"},"modified":"2025-11-09T10:03:09","modified_gmt":"2025-11-09T07:03:09","slug":"a-thesis-in-the-college-of-science-for-women-discussing-optimal-equilibrium-and-oscillation-analysis-in-nicholsons-blowflies-equation-with-variable-coefficients","status":"publish","type":"post","link":"https:\/\/en.csw.uobaghdad.edu.iq\/?p=9501","title":{"rendered":"A thesis in the College of Science for Women discussing Optimal Equilibrium and Oscillation Analysis in Nicholson\u2019s Blowflies Equation with Variable Coefficients"},"content":{"rendered":"

[vc_row full_width=”stretch_row” rtl_reverse=”yes” css=”.vc_custom_1726859899671{margin-top: -150px !important;padding-top: 150px !important;padding-bottom: 60px !important;background-color: #f5f5f5 !important;}”][vc_column width=”1\/2″]

Master <\/span><\/span>Discussion<\/span><\/span><\/p>\n

The College of Science for Women at the University of Baghdad discussed a master’s thesis<\/p>\n

\u00a0(Optimal Equilibrium and Oscillation Analysis in Nicholson\u2019s Blowflies Equation with Variable Coefficients)<\/p>\n

by a student (Ghofran Hassan Jaber. (<\/p>\n<\/div><\/div><\/div>

<\/div><\/div>
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Objectives of the Thesis<\/div><\/span>
[vc_column_text css=””]This thesis expands the classical framework by examining an equation with variable parameters and a time-varying carrying capacity, providing a more realistic representation of biological systems. This study investigates the oscillatory behavior and asymptotic properties of all solutions of Nicholson\u2019s Blowflies equation for color flies with variable parameters and a variable carrying capacity. Unlike previous research that focused on constant parameters, this work addresses a more general and complex case where the parameters evolve over time. Since the inclusion of variable coefficients and carrying capacity in the Nicholson\u2019s Blowflies equation leads to multiple equilibrium, it is necessary to determine an optimal equilibrium for calculations and data analysis. To find such an equilibrium, we assumed a constant value for the coefficient function and the carrying capacity function that lies within their corresponding ranges, so that the equilibrium is the desired equilibrium.[\/vc_column_text]<\/div><\/div>
<\/i>
Content of the Thesis<\/div><\/span>
[vc_column_text css=””]The work in this study consists of two types of Nicholson\u2019s Blowflies equations: the differential delay Nicholson equation and the difference delay Nicholson equation. Conditions were found to ensure that all solutions oscillate around equilibrium and other results to ensure every solution converge to equilibrium for both types of Nicholson equation. These conditions are determined through a set of auxiliary problems, which prove effective in supporting the main results. In addition, illustrative examples are provided to illustrate how to choose fixed optimal values \u200b\u200bfor the functions to calculate the optimal equilibrium. The results in this thesis contribute to a broader understanding of delay equations (differential or difference) in insect community dynamics and provide a theoretical framework applicable to other time-delay systems in biology, ecology, and applied sciences.[\/vc_column_text]<\/div><\/div>
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Thesis grad<\/div><\/span>
[vc_column_text css=””]excellence[\/vc_column_text]<\/div><\/div>
<\/i>
Picture of the Committee members<\/div><\/span>
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