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1
Introduction to Population Ecology
Predator isocline 03214 Prey population 765 K 98 Figure 10.15 Prey and
predator isoclines. Adapted from Rosenzweig and MacArthur (1963). The prey
population has positive growth in the shaded area. The predator population has
positive ...
(10.12) dx x b + U; Locus of all such points in phase plane with the slope of the
phase trajectory a,, defined by (10.12), is called Isocline. By setting various
constant values dx/dx = a,- , for i = 1, 2, • • • , aN , a family of isoclines in the phase
plane ...
3
Control Theory Methods in Economics
Such a curve, called an isocline, represents the locus of points where the state
trajectory has slope <1. If flx11, xi) = 0, ot is infinite, and the isocline (represented
by the line FF on figure 3) represents the locus of points where the state trajectory
...
Jati Sengupta, Phillip Fanchon, 1997
4
Nonlinear Control Systems
With the aid of the family of isoclines (Fig. 5.11), the phase trajectory with the
initial point A/o can be graphically constructed. Let the initial point be on the
isocline N\ . The construction of a phase trajectory starts from an arbitrarily
chosen initial ...
5
A Primer of Ecology with R
~r 1/ „ N, 1/ (a) Species 2 isocline ~r 1/ „ N, (b) Species 1 isocline 1/ Fig. 5.3:
Phase plane plots of each of the two competing species, with Lotka-Volterra zero
growth isoclines. Arrows indicate population trajectories. Recall Kj = l/au.
Graphing ...
6
Introduction to Population Biology
Prey zero isocline 8H/8( = 0 Predator zero isocline ,8P/5(=0 Prey density (H) Prey
density (H) needed is an approach that will allow us to model a wide variety of
predator-prey interactions to allow for, and explain, these different outcomes.
7
The Maple O.D.E. Lab Book
display({deqf ield, deqiso}) ; Direction field and isoclines for deq From the graph,
is it plausible that the slopes along each isocline are constant? Find the isocline
where k — — 3. Are the slopes along that isocline all -3? Find the isocline where
...
8
Geometry of Four Dimensions
Henry Manning. of isocline planes, 182; conjugate series, 183 ; the two senses in
which planes can be isocline, 184; conjugate series isocline in opposite senses,
185 ; through any line pass two isocline to a given plane in opposite senses, ...
9
Theoretical Approaches to Biological Control
isocline in relation to herbivore abundance. Note that this isocline has all three
trophic levels represented. However, the plant isocline has no analytical solution
and can only be evaluated numerically in relation to herbivore abundance ...
Bradford A. Hawkins, Howard V. Cornell, 1999
10
Energetic Food Webs: An Analysis of Real and Model Ecosystems
For feasible (F NPP) systems the predator isocline must intersect at or to the left
of K for prey isocline. With increased productivity the prey isocline moves to the
right. If the predator isocline is positioned to the right of the apogee of the prey ...
John C. Moore, Peter C. de Ruiter, 2012
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Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
isocline w wiadomościach.
Political Endurance Test for Russian Billionaire
Mostly his role in politics seems to define the line, some invisible, shifting isocline of permissibility, of what will be allowed of independent ... «New York Times, Sie 13»
Off to see seabirds
Over five hundred Spinner Dolphins cavorted around our boat, as we headed out to the Sperm Whale hunting line, the 400m depth isocline at E 79 36. «Sunday Times.lk, Maj 10»
