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Ders Adı |
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Mathematical Models in Biology |
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Ders Kodu |
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MATL 7171 |
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Ders
İçeriği(Türkçe) |
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Population models, Nicholson-Bailey model, other Host-Parasitoid models, Host-Parasite model, Predator-Prey model, population genetics models, nonlinear structured models, measles model with vaccination, local stability in first-order nonlinear equations, phase line diagrams, local stability in first-order nonlinear systems, phase plane analysis, periodic solutions, bifurcations, delay logistic equation, stability using qualitative matrix stability, global stability and Liapunov functions, persistence and extinction theory, harvesting a single population, competition models, spruce budworm model, metapopulation and patch models, chemostat model, epidemic models, excitable systems, continuous age-structured model, reaction-diffusion equations, equilibrium and traveling wave solutions, critical patch size, spread of genes and traveling waves, pattern formation, integrodifference equations. |
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Ders İçeriği(İngilizce) |
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Nüfus modelleri, Nicholson-Bailey model, di?er Host-Parazitoid modelleri, Host-Parazit modelleri, av-avc? modelleri, nüfus geneti?i modelleri, nonlineer yap?l? modeller, a?? ile k?zam?k modeli, birinci mertebe nonlineer denklemlerin yerel kararl?l?klar?, faz do?ru diagramlar?, birinci mertebe nonlineer sistemlerin yerel kararl?l?klar?, faz düzlem analizi, periyodik çözümler, çatallanmalar, gecikmeli lojistik denklem, kalitatif matris kararl?l??? ile kararl?l?k, global kararl?l?k ve Liapunov fonksiyonlar?, tekil nüfusun hasatlanmas?, rekabet modelleri, spruce-budworm modeli, metanüfus ve patch modelleri, kemostat modelleri, epidemic modeller, heyecan verici sistemler, reaksiyon-difüzyon denklemleri, denge ve hareket dalgas? çözümleri, kritik patch boyutu, genlerin yay?lmas? ve hareketli dalgalar, desen olu?umu, integrodifference denklemleri. |
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Ders Saati |
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Teo. Ders: |
3
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Uyg.: |
0 |
Lab.: |
0
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Ders Kredisi |
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3
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