lovely_laura67
New member
- Joined
- Nov 27, 2017
- Messages
- 1
Can anyone help explain the relationship of the followingmodel to me?
I need to understand it so I can manipulate it in a computerprogramme, but I'm having difficulty as I haven't done any sort of math oralgebra or differential equations in over 10 years!
An equation for a 3 species predator prey model:
dP1/dt = P1( a - bP1) - cP1P2
dP2/dt = dP1P2 - eP2 - fP2P3
dP3/dt = gP2P3 - hP3
- P1, P2, P3 represent the number of animals in the threespecies
-a is the birth rate of the first species
-b is the natural death rate of the first species
-c is the death rate of the first species due to predationby the second
-d is the birth rate of the second species due to thenumbers of the first
-e is the natural death rate of the second species
-f is the death rate of the second species due to predationby the third
-g is the birth rate of the third species due to numbers ofthe second
-h is the natural death rate of the third species
I do not have values for birth rates or death rates. I justneed the relationship of this equation explained to me. death and birth ratesright now can be off the top of the head.
Ive been at this all day. my head is jumbled
3 eats 2 and 2 eats 1
so in theory, if there is no first species the 2nd and 3rddies, if there is no 3rd species 2nd species increases, if there is no 2ndspecies the 1st increases and the 3rd dies.
I have no idea on numerical values to try for my birth ratesand death rates
I need to understand it so I can manipulate it in a computerprogramme, but I'm having difficulty as I haven't done any sort of math oralgebra or differential equations in over 10 years!
An equation for a 3 species predator prey model:
dP1/dt = P1( a - bP1) - cP1P2
dP2/dt = dP1P2 - eP2 - fP2P3
dP3/dt = gP2P3 - hP3
- P1, P2, P3 represent the number of animals in the threespecies
-a is the birth rate of the first species
-b is the natural death rate of the first species
-c is the death rate of the first species due to predationby the second
-d is the birth rate of the second species due to thenumbers of the first
-e is the natural death rate of the second species
-f is the death rate of the second species due to predationby the third
-g is the birth rate of the third species due to numbers ofthe second
-h is the natural death rate of the third species
I do not have values for birth rates or death rates. I justneed the relationship of this equation explained to me. death and birth ratesright now can be off the top of the head.
Ive been at this all day. my head is jumbled
3 eats 2 and 2 eats 1
so in theory, if there is no first species the 2nd and 3rddies, if there is no 3rd species 2nd species increases, if there is no 2ndspecies the 1st increases and the 3rd dies.
I have no idea on numerical values to try for my birth ratesand death rates