Nonautonomous logistic equations as models of the adjustment of populations to environmental change.

*(English)*Zbl 0425.92013##### MSC:

92D40 | Ecology |

34A34 | Nonlinear ordinary differential equations and systems, general theory |

34A12 | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations |

Full Text:
DOI

##### References:

[1] | Woodworth, C.W., The theory of the parasitic control of insect pests, Science, 28, 227-230, (1908) |

[2] | Howard, L.O.; Fiske, W.F., The importation into the united states of the parasites of the gypsy moth and the Brown-tail moth, Bull. bur. ent. U.S. dep. agric., No. 91, (1911) |

[3] | Clark, L.R.; Geier, P.W.; Hughes, R.D.; Morris, R.F., The ecology of insect populations in theory and practice, (1967), Methuen, London |

[4] | Nicholson, A.J., An outline of the dynamics of animal populations, Aust. J. zool., 2, 9-65, (1954) |

[5] | Nicholson, A.J., The self-adjustment of populations to change, Cold spring harb. symp. quant. biol., 22, 153-172, (1957) |

[6] | Nicholson, A.J., Dynamics of insect populations, Ann. rev. ent., 3, 107-136, (1958) |

[7] | Coleman, B.D.; Noll, W., An approximation theorem for functionals, with applications in continuum physics, Arch. rational mech. anal., 6, 355-370, (1960) · Zbl 0097.16403 |

[8] | Coleman, B.D.; Mizel, V.J., Norms and semi-groups in the theory of fading memory, Arch. rational mech. anal., 23, 87-123, (1966) · Zbl 0146.46104 |

[9] | Coleman, B.D.; Mizel, V.J., On the general theory of fading memory, Arch. rational mech. anal., 29, 18-31, (1968) · Zbl 0167.24704 |

[10] | Coleman, B.D.; Noll, W.; Coleman, B.D.; Noll, W., Foundations of linear viscoelasticity, Rev. mod. phys., Erratum, 36, 1103-249, (1961) · Zbl 0103.40804 |

[11] | Nicholson, A.J., Population oscillations caused by competition for food, Nature, lond., 165, 476-477, (1950) |

[12] | Coleman, B.D.; Noll, W., Simple fluids with fading memory, Proceedings of the international symposium on second-order effects, 530-552, (1962), Haifa |

[13] | Coleman, B.D., Thermodynamics of materials with memory, Arch. rational mech. anal., 17, 1-46, (1964) |

[14] | Coleman, B.D.; Mizel, V.J., On the stability of solutions of functional-differential equations, Arch. rational mech. anal., 30, 173-196, (1968) · Zbl 0184.36801 |

[15] | Coleman, B.D.; Gurtin, M.E., On the stability against shear waves of steady flows of non-linear viscoelastic fluids, J. fluid mech., 33, 165-181, (1968) · Zbl 0207.25302 |

[16] | Coleman, B.D., On thermodynamics, strain impulses, and viscoelasticity, Arch. rational mech. anal., 17, 230-254, (1964) · Zbl 0125.13603 |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.