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Science Forum Index » Math - Numerical Analysis Forum » Competing species
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Message |
| Guest |
 Posted: Thu Mar 08, 2007 7:17 pm |
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Hi all,
I have a question regarding the partial differential equations. If I
have a system of two PDEs such as
*du/dt = d^2u/dx^2 + u^2*v
*dv/dt = d^2v/dx^2 - u^2*v d: partial derivative in both
equations
where u and v are two species. How can I know that these species are
competing?
Regards, |
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| Posted: Sun Mar 11, 2007 6:55 am |
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Guest
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On Mar 8, 11:17 pm, eoz1...@yahoo.co.uk wrote:
Quote: Hi all,
I have a question regarding the partial differential equations. If I
have a system of two PDEs such as
*du/dt = d^2u/dx^2 + u^2*v
*dv/dt = d^2v/dx^2 - u^2*v d: partial derivative in both
equations
where u and v are two species. How can I know that these species are
competing?
Regards,
Ignoring the second derivative terms,
if v>0 then in du/dt =... + u^2*v
the u^2*v term indicates that u increases
so v benefits u (u eats v?)
while in
dv/dt = ... - u^2*v
u>0 causes v to go down, so
u harms v (v is eaten by u?)
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