Mathematical Biology. 14: Predator Prey Model

UCI Math 113B: Intro to Mathematical Modeling in Biology (Fall 2014)
Lec 14. Intro to Mathematical Modeling in Biology: Predator Prey Model
View the complete course: ocw.uci.edu/cou...
Instructor: German A. Enciso, Ph.D.
Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005
License: Creative Commons CC-BY-SA
Terms of Use: ocw.uci.edu/info
More courses at ocw.uci.edu
Description: UCI Math 113B is intended for both mathematics and biology undergrads with a basic mathematics background, and it consists of an introduction to modeling biological problems using continuous ODE methods (rather than discrete methods as used in 113A). We describe the basic qualitative behavior of dynamical systems in the context of a simple population model. As time allows, we will then discuss other types of models such as chemical reactions inside the cell, or excitable systems leading to oscillations and neuronal signals. The necessary linear algebra is also discussed to avoid including additional requirements for this course.
Recorded on February 10, 2014
Required attribution: Enciso, German A. Math 113B (UCI OpenCourseWare: University of California, Irvine), ocw.uci.edu/cou.... [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (creativecommons...)

[@selvamathstutorial4463]

I am new to this topic, but I loved it sir 🙏

[@missanjali3125]

Thank you Sir ...

[@SA-uv2if]

please how i find eigen values and eigenvectors to the point which is spiral in last example

[@emaanemaan922]

Sir plz explain it with English subtitle

[@ericphan5857]

The limiting factor is also environment condition for reproduction and the favoritism condition : if rabbit get grass then both grow but if grass depleted then both will die but who survive at the end depending on how Manu rabbit hid away from ultimate extinction so chance are rabbit will survive unless human hunter involved then nobody survive

[@TheSdzfr]

Can you please tell me how to apply this in Logistic growth for Predator as well.
For example:
Moths: dM/dt= {rM(K-M)/M}-aMB
Bats: dB/dt=-dB+bMB
Should actually be:
Moths: dM/dt= {rM(K-M)/M}-aMB
Bats: dB/dt=-dB+bMB(C-B)/B
where C is Carrying capacity for Bats, I mean they are dying at Death rate d, but they can increase only upto a certain limit only even in presence of a lot of Moths.

[@nancyheine8462]

Thanks!

[@francis_f]

Thanks from the lesson and cheers from Argentina. I need to ask: at 09:00 what do you mean? If the wolves dont die exponentially, how do they die?

[@rodrigosoutilha9751]

I think he meant It doesn't really apply to reality due to other factors that influence the growth of the population of Wolves, and which we must account (Idk, Just guessing)

[@anhvu6483]

xem nhưng không hiểu

[@ericphan5857]

Like the earth is the egg and the chicken is invisible and human are the chic

[@alaametwally7039]

I'm asking for the text book plz , I need its name :)

[@abdon22]

Leah Edelstein-Keshet, "Mathematical Models in Biology", Classics in Applied Math