13th International Conference on Membrane Computing - MTA Sztaki

DCBA: Simulating population dynamics P systems with proportional object
distribution
Young ungulates that do not reproduce
1
r 6,i,j ≡ [X i,j ] 1 −−−→[Y i,j ] 1 : 0 ≤ j < k i,2 , 2 ≤ i ≤ 7
• Growth rules for the Bearded Vulture
k 1,6 +k 1,10
r 7,j ≡ [X 1,j ] 1 −−−→ [Y1,k1,2−1Y 1,j ] 1 : k 1,2 ≤ j < k 1,4
1−k 1,6 −k 1,10
r 8,j ≡ [X 1,j ] 1 −−−→ [Y1,j ] 1 : k 1,2 ≤ j < k 1,4
k 1,6
r 9 ≡ [X 1,k1,4 ] 1 −−−→[Y1,k1,2−1Y 1,k1,4 ] 1
r 10 ≡ [X 1,k1,4 ] 1
1−k 1,6
−−−→[Y1,k1,4 ] 1
• Mortality rules for ungulates
Young ungulates which survive
1−k i,7 −k i,8
r 11,i,j ≡ Y i,j [ ] 2 −−−→ [Zi,j ] 2 : 0 ≤ j < k i,1 , 2 ≤ i ≤ 7
Young ungulates which die
k i,8
r 12,i,j ≡ Y i,j [ ] 2 −−−→[B
k i,11
] 2 : 0 ≤ j < k i,1 , 2 ≤ i ≤ 7
Young ungulates which are retired from the ecosystem
k i,7
r 13,i,j ≡ Y i,j [ ] 2 −−−→[ ]2 : 0 ≤ j < k i,1 , 2 ≤ i ≤ 7
Adult ungulates that do not reach the average life expectancy
Those which survive
r 14,i,j ≡ Y i,j [ ] 2
1−k i,10
−−−→[Zi,j ] 2 : k i,1 ≤ j < k i,4 , 2 ≤ i ≤ 7
Those which die
k i,10
r 15,i,j ≡ Y i,j [ ] 2 −−−→[B
k i,12
] 2 : k i,1 ≤ j < k i,4 , 2 ≤ i ≤ 7
Ungulates that reach the average life expectancy
Those which die in the ecosystem
k i,9 +(1−k i,9 )k i,10
r 16,i ≡ Y i,ki,4 [ ] 2 −−−→ [B
k i,12
] 2 : 2 ≤ i ≤ 7
Those which die and are retired from the ecosystem
r 17,i ≡ Y i,ki,4 [ ] 2
(1−k i,9 )(1−k i,10 )
−−−→ [ ] 2 : 2 ≤ i ≤ 7
• Mortality rules for the Bearded Vulture
r 18,j ≡ Y 1,j [ ] 2
1−k 1,10
−−−→[Z1,j ] 2 : k 1,2 ≤ j < k 1,4
k 1,10
r 19,j ≡ Y 1,j [ ] 2 −−−→[ ]2 : k 1,2 ≤ j < k 1,4
1
r 20 ≡ Y 1,k1,4 [ ] 2 −−−→[Z 1,k1,2−1] 2
1
r 21 ≡ Y 1,k1,2−1[ ] 2 −−−→[Z 1,k1,2−1] 2
• Feeding rules
r 22,i,j ≡ [Z i,j B ki,14 1
] 2 −−−→ X i,j+1 [ ] + 2 : 0 ≤ j ≤ k i,4, 1 ≤ i ≤ 7
• Balance rules
Elimination of remaining bones
r 23 ≡ [B] + 1
2 −−−→[ ] 2
Adult animals that die because they have not enough food
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