Page 332 - The Final Appeal to Mankind

«The Final Appeal to Mankind» by Nicolai Levashov

noi — is the optimum quantity of plants of each species (j) on a unit of surface satisfying
the requirements for ecological balance.

njo — is the quantity of vegetable species growing upon a unit of surface.

Part of the vegetative biomass is consumed by herbivorous animals. The biomass of
herbivorous animals is accordingly synthesized out of this fraction, following its
digestion and metabolism.

s a b
∫ ∫ ∫ M (ij) p(t) χab nab dsdadb = M ab p(t) (2)
ooo

s c g
cg
∫ ∫ ∫ M ab p(t) χcg ncg dsdcdg = M p(t) (3)
ooo

where:

M p(t) — is the biomass of carnivorous animals synthesized per unit of time upon a
cg
unit of surface.

χcg — is the BEF of animals showing which fraction of the consumed biomass of
herbivorous animals becomes transformed into the biomass of carnivores (c) of each
carnivorous species (g).

χcg — is the number of carnivorous organisms (c) of a given species (g) dwelling upon
a unit of surface.

It should be noted that:

0 < с < nсо
0< g <nog

where:

nсо — is the optimum density of carnivorous animals of each species (g) dwelling upon
a unit of surface satisfying the requirements of ecological balance.

nog — is the optimum density of carnivorous species dwelling upon a unit of surface
satisfying the requirements of ecological balance.

Drawing on the mathematical symbols introduced earlier (1), (2), (3) we will now be
able to represent the mathematical model of the resulting ecological system:

M p(t) + M ab p(t) + M p(t) = const. (4)
ij
cg
After the substitution of the values of items into equation (4) we obtain:

s a b s a b s a b
ij
M p(t) {1+ ∫ ∫ ∫ χab nab dsdadb + ∫ ∫ ∫ χab nab [ ∫ ∫ ∫ χcg ncg dsdcdg ] dsdadb=const. (5)
ooo ooo ooo

Back to content 331