Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 8 of 8 for “"Local and global stability"”.
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Local and Global Stability and Dynamics of a Class of Nonlinear Time-Delayed One-Degree-of-Freedom Systems
We investigate the dynamics and stability of nonlinear time-delayed one-degree-of-freedom systems possessing quadratic and cubic nonlinearities and subjected to external and parametric disturbances. Due to the time-delay terms, the trivial solution of the unforced system undergoes Hopf …
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A cholera model linking between-host, within-host and environmental disease dynamics
… are governed by human-human, environment-human, and within-human sub-dynamics. In this paper, a model is presented to incorporate all three of these dynamical components. The model is divided into three subgroups where the dynamics are analyzed according to their respective time scales. …
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Tuberkuliozės matematinis modelis su netiesine gydymo funkcija /
… saturated treatment function. In this thesis SIR and SEIR tuberculosis models which include a saturated treatment function are studied. It is beneficial to include a saturated treatment in developing countries because medical conditions can be poor. The local and global stability of the …
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Multi-scale and multi-group modeling techniques applied to Cholera and COVID-19
… are governed by human-human, environment-human, and within-human sub-dynamics. Specifically, the within-host dynamics incorporate virus and immune cell interaction with the vibrios. One model is presented to incorporate all three of these dynamical components. This model is extended to consider …
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Systematic control strategy for inverter-based microgrids
… microgrids (MGs), are becoming economically and technically feasible due to cost-effective battery storage with high-bandwidth inverter interfaces, thus facilitating efficient energy utilization from renewable sources to maintain autonomous operation without a grid connection. Therefore, …
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A Three Dimensional Model of Virus Dynamics in HIV Patients
… actively infected CD4<sup>+</sup> T cells, and viral particles.</p> <p>For the model described by a three-dimensional ODE system, a bounded positively invariant set Γ in R<sup>3</sup><sub>+</sub> is found. We show that if N < N<sub><em>c</em></sub>, that is if the number of viral particles …
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Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education
… modern time. Its progression has challenged the global population for decades. Through mathematical modelling, researchers have studied different interventions on the HIV pandemic, such as treatment, education, condom use, etc. Our research focuses on different compartmental models with emphasis …
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A Multi-level Model for a Vector-Borne Organ to Tissue life Cycle Dynamics
… lifecycle, which involves two hosts (humans and mosquitoes)but also from the intricate replication and transmission cycles across different levels of the infectious disease system organization. Like other infectious disease systems, malaria infections inherit multilevel and multiscale …