All Questions
4
questions
1
vote
1
answer
294
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Question in population dynamics using exponential growth rate equation
Given population doubles in 20 minutes, what is intrinsic growth rate r?
Attempt: Given population doubles, using exponential growth rate we have $\frac{dN}{dt}=2N$ so $N(t)=N_0e^{2t}$ therefore r=2, ...
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0
votes
1
answer
112
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How to solve simple differential equation (biology)
First of all, I am a biologist and I am not really knowledgeable in mathematics. Thus, I apologize if what I am asking is naive or not fully explained.
I am trying to solve analytically a differential ...
0
votes
1
answer
80
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Equilibrium and Stability of Nonlinear Interactions
Examine the nonlinear model:
$$\triangle x_t = rx_t(1-\frac{x_t}{K})-sx_ty_t$$
$$\triangle y_t = -dy_t+\epsilon x_ty_t$$
Find the equilibrium and their stability. Here all the parameters are ...
- 594
3
votes
1
answer
159
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Geometric reason for 3/4-power growth rate?
It seems pretty well established that organisms grow
according to a 3/4-power law.
For example,
Niklas and Enquist, in their paper
"Invariant scaling relationships for interspecific plant biomass ...
- 30.4k