Global ETD Search

1	A Geometric Singular Perturbation Theory Approach to Viscous Singular Shocks Profiles for Systems of Conservation Laws Hsu, Ting-Hao 14 October 2015 (has links) No description available. Mathematics Conservation laws Singular shocks Delta shocks Dafermos regularization Geometric singular perturbation theory
2	EXISTENCE OF SLOW WAVES IN MUTUALLY INHIBITORY THALAMIC NEURONAL NETWORKS Jalics, Jozsi Z. January 2002 (has links) No description available. geometric singular perturbation theory traveling waves thalamic neuronal networks synaptic coupling inhibition
3	Analysis and implementation of robust numerical methods to solve mathematical models of HIV and Malaria co-infection Elsheikh, Sara Mohamed Ahmed Suleiman January 2011 (has links) There is a growing interest in the dynamics of the co-infection of these two diseases. In this thesis, firstly we focus on studying the effect of a distributed delay representing the incubation period for the malaria parasite in the mosquito vector to possibly reduce the initial transmission and prevalence of malaria. This model can be regarded as a generalization of SEI models (with a class for the latently infected mosquitoes) and SI models with a discrete delay for the incubation period in mosquitoes. We study the possibility of occurrence of backward bifurcation. We then extend these ideas to study a full model of HIV and malaria co-infection. To get further inside into the dynamics of the model, we use the geometric singular perturbation theory to couple the fast and slow models from the full model. Finally, since the governing models are very complex, they cannot be solved analytically and hence we develop and analyze a special class of numerical methods to solve them. Human Immunodeficiency Virus (HIV) Malaria HIV-Malaria Co-infection Distributed Delay Dynamical Systems Geometric Singular Perturbation Theory Bifurcation Analysis Local Asymptotic Stability Global Asymptotic Stability Numerical Methods.
4	Analysis and implementation of robust numerical methods to solve mathematical models of HIV and Malaria co-infection Elsheikh, Sara Mohamed Ahmed Suleiman January 2011 (has links) There is a growing interest in the dynamics of the co-infection of these two diseases. In this thesis, firstly we focus on studying the effect of a distributed delay representing the incubation period for the malaria parasite in the mosquito vector to possibly reduce the initial transmission and prevalence of malaria. This model can be regarded as a generalization of SEI models (with a class for the latently infected mosquitoes) and SI models with a discrete delay for the incubation period in mosquitoes. We study the possibility of occurrence of backward bifurcation. We then extend these ideas to study a full model of HIV and malaria co-infection. To get further inside into the dynamics of the model, we use the geometric singular perturbation theory to couple the fast and slow models from the full model. Finally, since the governing models are very complex, they cannot be solved analytically and hence we develop and analyze a special class of numerical methods to solve them. Human Immunodeficiency Virus (HIV) Malaria HIV-Malaria Co-infection Distributed Delay Dynamical Systems Geometric Singular Perturbation Theory Bifurcation Analysis Local Asymptotic Stability Global Asymptotic Stability Numerical Methods.
5	Analysis and implementation of robust numerical methods to solve mathematical models of HIV and Malaria co-infection Elsheikh, Sara Mohamed Ahmed Suleiman January 2011 (has links) Philosophiae Doctor - PhD / There is a growing interest in the dynamics of the co-infection of these two diseases. In this thesis, firstly we focus on studying the effect of a distributed delay representing the incubation period for the malaria parasite in the mosquito vector to possibly reduce the initial transmission and prevalence of malaria. This model can be regarded as a generalization of SEI models (with a class for the latently infected mosquitoes) and SI models with a discrete delay for the incubation period in mosquitoes. We study the possibility of occurrence of backward bifurcation. We then extend these ideas to study a full model of HIV and malaria co-infection. To get further inside into the dynamics of the model, we use the geometric singular perturbation theory to couple the fast and slow models from the full model. Finally, since the governing models are very complex, they cannot be solved analytically and hence we develop and analyze a special class of numerical methods to solve them. / South Africa Human Immunodeficiency Virus (HIV) Malaria HIV-Malaria Co-infection Distributed Delay Dynamical Systems Geometric Singular Perturbation Theory Bifurcation Analysis Local Asymptotic Stability Global Asymptotic Stability Numerical Methods
6	Understanding a Population Model for Mussel-Algae Interaction Vorpe, Katherine January 2020 (has links) No description available. Mathematics Ecology Applied Mathematics Aquatic Sciences nonlinear theories nonlinear dynamics numerical analysis Geometric Singular Perturbation Theory Invariant Manifold Theory mussels mussel beds traveling waves
7	The Jormungand Climate Model Rackauckas, Christopher V. 11 July 2013 (has links) No description available. Climate Change Mathematics Dynamical Systems Mathematical Climatology Snowball Earth Geometric Singular Perturbation Theory Legendre Polynomials Jormungand State Fast-Slow Systems Numerical Simulations Hysteresis Ice-Albedo Feedback Budkyo-Widiasih Model

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