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A population growth model incorporating delayed responses

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Literature

  • Albrecht, F. O., M. Verdier, and R. E. Blackith. 1959. “Maternal control of ovariole number in the progeny of the migratory locust.”Nature,184 (4680), 103–104.

    Article  Google Scholar 

  • Andersen, F. S. 1963. “Population density of grain insects.”Arsberetning Statens Skadedyrlaboratorium 1959–60, 75–77.

    Google Scholar 

  • Callahan, R. F. 1962. “Effects of parental age on the life cycle of the house flyMusca domestica Linnaeus.” Ph.D. thesis, Fordham University.Diss. Abstr.,23 (3), 802–803.

    Google Scholar 

  • Chiang, H. C. and A. C. Hodson. 1950. “An analytical study of population growth inDrosophila melanogaster.”Ecol. Monogr.,20, 175–206.

    Article  Google Scholar 

  • David, J. 1961. “Influence de l’état physiologique des parents sur les caractères des descendants.”Annales de Génétique,3 (2), 1–78.

    Google Scholar 

  • — 1962. “Influence de l’age de la mère sur les dimensions des oeufs dans une souche vestigial deDrosophila melanogaster Meig. étude expérimentale du déterminisme physiologique de ces variations.”Bulletin Biologique de la France et de la Belgique,96 (3), 503–528.

    Google Scholar 

  • Fiore, C. 1960. “Effects of temperature and parental age on the life cycle of the dark mealwormTenebrio obscurus Fabricius.”J. New York ent Soc.,68, 27–35.

    Google Scholar 

  • Fraccaro, M. 1955. “A contribution to the study of birth weight based on an Italian sample.”Ann. hum. gen.,20, 282–297.

    Google Scholar 

  • Howe, R. W. 1950. “Studies on beetles of the family Ptinidae 4.—A note on an anomalous effect of parental age on the speed of development.”Ent. mon. Mag.,86, 325–326.

    Google Scholar 

  • — 1963. “The prediction of the status of a pest by means of laboratory experiments.”World Review of Pest Control,2, 30–40.

    Google Scholar 

  • — and H. D. Burges. 1953. “Studies on beetles of the family Ptinidae. IX—A laboratory study of the biology ofPtinus tectus Boield.”Bull. ent. Res.,44, 461–516.

    Google Scholar 

  • Lefkovitch, L. P. 1962. “Food quantity and density effects in pre-adultCryptolestes turcius (Grouvelle) (Coleoptera: Cucujidae).”Proc. zool. Soc. Lond.,138, 37–47.

    Google Scholar 

  • — 1963. “Census studies on unrestricted populations ofLasioderma serricorne (F.) (Coleoptera: Anobiidae).”J. anim. Ecol.,32, 221–231.

    Article  Google Scholar 

  • — 1964a. “The growth of restricted populations ofLasioderma serricorne (F.) (Coleoptera: Anobiidae).”Bull. ent. Res.,55, 87–96.

    Google Scholar 

  • — 1965. “An extension of the use of matrices in population mathematics.”Biometrics,21, 1–18.

    Article  Google Scholar 

  • — and J. E. Currie. 1963. “The effects of food shortage upon larvae ofLasioderma serricorne (F.) (Coleoptera: Anobiidae).”Bull. ent. Res.,54, 535–547.

    Google Scholar 

  • — and R. H. Milnes. 1963. “Interaction of two species ofCryptolestes (Coleoptera: Cucujidae).”Bull. ent. Res.,54, 107–112.

    Article  Google Scholar 

  • Leslie, P. H. 1945. “On the use of matrices in certain population mathematics.”Biometrika,33, 183–212.

    Article  MATH  MathSciNet  Google Scholar 

  • — 1959. “The properties of a certain lag type of population growth and the influence of an external random factor on a number of such populations.”Physiol. Zoöl.,37, 151–159.

    Google Scholar 

  • Lewis, E. G. 1942. “On the generation and growth of a population.”Sankhya,6, 93–96.

    Google Scholar 

  • Ludwig, D. and C. Fiore. 1961. “Effects of parental age on offspring from isolated pairs of the mealwormTenebrio molitor.”Ann. ent. Amer.,44, 463–464.

    Google Scholar 

  • Nicholson, A. J. 1948. “Competition for food amongstLucilia cuprina larvae.”Proc. 8th Int. Cong. Ent. Stockholm, 277–281.

  • Novitski, E. and L. Sandler. 1956. “The relationship between parental age, birth order and the secondary sex ratio in humans.”Ann. Eugen. Lond.,21, 123–131.

    Google Scholar 

  • O’Brian, D. M. 1961. “Effects of parental age on the life cycle ofDrosophila melanogaster.”Ann. ent. Soc. Amer.,54, 412–416.

    Google Scholar 

  • Parsons, P. A. 1962. “Maternal age and developmental variability.”J. exp. Biol.,39, 251–260.

    Google Scholar 

  • Penrose, L. S. 1961. “Parental age and non-disjunction.”In W. M. Davidson and D. Robertson Smith,Human Chromosomal Abnormalities. London: Staples Press.

    Google Scholar 

  • Quenouille, M. H. 1957. “The analysis of multiple time-series.” London: Griffin.

    Google Scholar 

  • Robertson, F. W. and J. H. Sang. 1944a. “The ecological determinants of population growth in aDrosophila culture. 1. Fecundity of adult flies.”Proc. Roy. Soc. B,132, 258–277.

    Article  Google Scholar 

  • Robertson, F. W. and J. H. Sang. 1944b. “The ecological determinants of population growth in aDrosophila culture. II. Circumstances affecting egg viability.”Proc. Roy. Soc. B,132, 277–291.

    Google Scholar 

  • Searle, A. G. 1954. “Genetical studies on the skeleton of the mouse. IX. Causes of skeletal variation within pure lines.”J. Genet.,52, 68–102.

    Article  Google Scholar 

  • Simmonds, F. J. 1948. “The influence of maternal physiology on the incidence of diapause.”Phil. Trans. B,233, 385.

    Google Scholar 

  • Slobodkin, L. B. 1954. “Population dynamics inDaphnia obtusa Kurz.”Ecol. Monog.,24, 69–88.

    Article  Google Scholar 

  • Snyman, A. 1949. “The influence of population densities on the development and oviposition ofPlodia interpunctella Hübn. (Ledpidoptera).”J. ent. Soc. S. Afr.,12, 137–171.

    Google Scholar 

  • Steffan, J. R. 1945. “Contribution a l’étude deZabrotes subfasciatus Boheman.”Mem. Mus. Nat. d’Hist. Natur.,21 (2), 55–84.

    Google Scholar 

  • Strong, L. C., Ed. 1954. “Parental age and characteristics of the offspring.”Ann. N. York Acad. Sci.,57, 451–614.

    Google Scholar 

  • Sullivan, R. L. and R. R. Sokal. 1963. “The effects of larval density on several strains of the house fly.”Ecology,44, 120–130.

    Article  Google Scholar 

  • Turner, M. E., R. J. Monroe, and L. D. Homer. 1963. “Generalized kinetic regression analysis: hypergeometric kinetics.”Biometrics,19 (3), 406–428.

    Article  MATH  MathSciNet  Google Scholar 

  • Ullyett, G. C. 1950. “Competition for food and allied phenomena in sheep-blowfly populations.”Phil. Trans. Roy. Soc. B.,234, 77–174.

    Google Scholar 

  • Wangersky, P. J. and W. J. Cunningham. 1957. “Time lag in population models.”Cold Spr. Harb. Symp. quant. Biol.,22, 329–338.

    Google Scholar 

  • Woodroffe, G. E. 1951a “A life-history study of the brown house moth,Hofmannophila pseudospretella (Staint). (Lep., Oecophoridae).”Bull. ent. Res.,41, 529–553.

    Article  Google Scholar 

  • — 1951b. “A life-history study ofEndrosis lactella (Schiff.) (Lep., Oecophoridae).”Bull. ent. Res.,41, 749–760.

    Google Scholar 

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Lefkovitch, L.P. A population growth model incorporating delayed responses. Bulletin of Mathematical Biophysics 28, 219–233 (1966). https://doi.org/10.1007/BF02476997

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