List questions from mathematical-biology

79

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For given system of ODE's, in a region $\Omega$ in the $uw$-plane, show it's a trapping region for large R

Published on 14 Apr 2026 - 8:03

76

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For the difference equation $x_{n+1}=ax_n\exp(-x_n)$, find values of $a$ that lead to a period-doubling bifurcation and values that lead to extinction

Published on 14 Apr 2026 - 11:04

87

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For the given delay-differential equation, $x'(t)=x(t-T)e^{3-x(t-T)}-x(t)$, how do you find stability for given equilibria?

Published on 25 Mar 2026 - 19:11

58

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Finding nullclines and linearization about the steady state

Published on 11 Apr 2026 - 12:55

83

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Finding the steady state solutions of a model.

Published on 08 Apr 2026 - 8:56

186

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Why life expectancy calculate as 1/μ in SIR model?

Published on 10 May 2026 - 11:41

27

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Stability of two consecutive equilibrium points

Published on 25 Mar 2026 - 15:39

80

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Where to learn about whether a travelling wave solution to the reaction diffusion equation is a pushed or pulled wave?

Published on 15 Apr 2026 - 5:57

162

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Calculation of the “basic reproduction number” (R0) for “reaction-diffusion-advection” type epidemic models

Published on 10 May 2026 - 12:53

233

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How do you calculate how long until a drug reaches its steady state?

Published on 11 Apr 2026 - 7:52

104

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Linearized Michaelis-Menten equation for LP

Published on 12 Apr 2026 - 17:08

61

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Stability Analysis of DFE in terms of R0 Using Ruth-Hurwitz Criterion

Published on 09 Apr 2026 - 23:50

136

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Can protein folding be used to solve SAT problems?

Published on 10 Apr 2026 - 14:47

50

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How to find the basic reproduction number?

Published on 10 May 2026 - 12:51

522

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Some good books for ODE and Dynamical system.

Published on 13 Apr 2026 - 23:59

List Question

For given system of ODE's, in a region $\Omega$ in the $uw$-plane, show it's a trapping region for large R

For the difference equation $x_{n+1}=ax_n\exp(-x_n)$, find values of $a$ that lead to a period-doubling bifurcation and values that lead to extinction

For the given delay-differential equation, $x'(t)=x(t-T)e^{3-x(t-T)}-x(t)$, how do you find stability for given equilibria?

Finding nullclines and linearization about the steady state

Finding the steady state solutions of a model.

Why life expectancy calculate as 1/μ in SIR model?

Stability of two consecutive equilibrium points

Where to learn about whether a travelling wave solution to the reaction diffusion equation is a pushed or pulled wave?

Calculation of the “basic reproduction number” (R0) for “reaction-diffusion-advection” type epidemic models

How do you calculate how long until a drug reaches its steady state?

Linearized Michaelis-Menten equation for LP

Stability Analysis of DFE in terms of R0 Using Ruth-Hurwitz Criterion

Can protein folding be used to solve SAT problems?

How to find the basic reproduction number?

Some good books for ODE and Dynamical system.

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