. Bulletin. Science; Natural history; Natural history. 182 SOUTHERN CALIFORNIA ACADEMY OF SCIENCES P-»00. P -0 Fig. 6. Density-dependent model where both dHJdt and dHJdt are dependent on H^^ and H^^. P* = equihbrium point; arrows show movement of//; and //j in the planes; P decreases in the shaded region and increases in the unshaded area. Through graph analysis it can easily be shown that in the non-refuge situation it is easier to obtain a real positive equilibrium point. The stability criterion when ^2 = A:4 = 0 is the same as for the density-independent case. When A-2, k^ > 0 stability
. Bulletin. Science; Natural history; Natural history. 182 SOUTHERN CALIFORNIA ACADEMY OF SCIENCES P-»00. P -0 Fig. 6. Density-dependent model where both dHJdt and dHJdt are dependent on H^^ and H^^. P* = equihbrium point; arrows show movement of//; and //j in the planes; P decreases in the shaded region and increases in the unshaded area. Through graph analysis it can easily be shown that in the non-refuge situation it is easier to obtain a real positive equilibrium point. The stability criterion when ^2 = A:4 = 0 is the same as for the density-independent case. When A-2, k^ > 0 stability occurs when: .v + (A:, - k2)lk3{kiP + Cj + ff^i) - k^c^] > 0 wherex is a variable which is always positive composed of terms from the original equations. Depending upon the value of ki - A2 density dependence in this case may either add to or subtract from stability in the non-refuge situation. Finally, density dependence of the following form will be considered: dt dHj dt c,H., - k,PH, CzH, C3H1 - kiPH. - C4H2 gHi^ iH,^. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Southern California Academy of Sciences. Los Angeles, Calif. : The Academy
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Keywords: ., bookcentury1900, booksubjectnaturalhistory, booksubjectscience
