PENGARUH DIFUSI TERHADAP KESTABILAN LOKAL SOLUSI EKUILIBRIUM MODEL PERSAINGAN DUA SPESIES
Influence of diffusion on the local stability of the equilibrium solution in competition model of two species is discussed in this thesis. The discussion begins from constructing a competition model of two species and then analyzing the stability of the equilibrium solution in the model. There are f...
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2012
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| Summary: | Influence of diffusion on the local stability of the equilibrium solution in
competition model of two species is discussed in this thesis. The discussion
begins from constructing a competition model of two species and then analyzing
the stability of the equilibrium solution in the model. There are four equilibrium
solutions in competition model of two species. These equilibrium solutions are
also the equilibrium solutions in competitive cross-diffusion model. But not
necessarily apply also to the local stability of each equilibrium solution. The
analysis results show that the reaction diffusion does not have effect on the
asimptotically behavior of the local stability of the equilibrium solution in the
model. On the other hand, it's different with the presence of cross diffusion. The
equilibrium solutions in competition model of two species which locally
asymptotically stable will remain locally asymptotically stable with the presence
of the cross diffusion if satisfied certain condition.
Furthermore, in this thesis also discussion about how to find traveling wave
solutions of competitive cross-diffusion model of two species. The method used
to find traveling wave solutions of the model is a generalization of Malfliet's
tanh method. |
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