دراسات اقتصادية - ماجستير

Permanent URI for this collectionhttps://repository.neelain.edu.sd/handle/123456789/5192

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    HOMOTOPY PERTURBATION METHOD FOR SOLVING DIFFERENTIAL EQUATIONS
    (2016) Magdy Mohamed Awad Elkarim
    Abstract In this research we studied the Homotopy perturbation method that used to solve linear, non−linear and partial differential equations. We mainly foucsed on solving differential equations that have fractional order. Then we compared between this method and the Adomian decomposition method and we found that the homotopy perturbation method is useful to solve some mathematical problems.
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    Numerical Simulation for a Quasispecies Model for Cancer
    (2017) Abdelazeem Abdelkreem Seneen Abo
    Abstract In this thesis we presented a quasispecies mathematical model for two com- peting cell populations. We toke into account the dynamics of heterogeneous tumor cell populations competing with healthy cells. We analyze a mathemat- ical model of unstable tumor progression using the quasispecies framework to define a minimal model incorporating the dynamics of competition between healthy cells and a heterogeneous population of cancer cell phenotypes involv- ing changes in replication-related genes.
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    An Stochastic Model for Population Dynamics in Multi-patch Systems
    (2016) Kawther Bashier Mohammed Al-hussain
    Abstract In this thesis we developed a mathematical model using stochastic differential equa- tions in order to model three interacting populations. We first presented some his- torical remarks about populations in patchy environments. We also discussed briefly the dynamical behavior, random varying and stochastic effects (birth, death, migra- tion) on animal populations. We also introduced basic concepts of metapopulations. We also discussed concepts from probability theory, Itˆ formula, system of stochastic o differential equation and Brownian motion-Wiener process. We presented briefly the numerical solutions of SDE’s using Euler-Maruyama method. We described a general stochastic modelling approach for multi-patch systems, and hence we droved a formula for three interacting populations.