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The Golden Age of Theoretical Ecology: 1923-1940. A Collection of Works by V. Volterra, V. A. Kostitzin, A. J. Lotka, and A. N. Kolmogoroff

1979; Oxford University Press; Volume: 35; Issue: 3 Linguagem: Inglês

10.2307/2530273

1541-0420

Robert W. Poole, Francesco M. Scudo, James R. Ziegler, Vito Volterra, V. A. Kostitzin, Alfred J. Lotka, A. N. Kolmogoroff,

Sustainability and Ecological Systems Analysis

Historical Introduction.- I. Logistic Approaches.- Calculus of variations and the logistic curve.- Population growth, equilibria,and extinction under specified breeding conditions: a development and extension of the theory of the logistic curve.- The logistic law and its generalizations (Sur la loi logistique et ses generalisations).- The physiological segregation and the variation of species (Sur la segregation physiologique et la variation des especes).- Conraients on the note by Mr. Regnier and Miss Lambin: Study of a case of microbial competition (Bacillus coli - Staphylococcus aureus) (Remarques sur la note de M. Regnier et Mlle Lambin (Etude d'un cas d'antagonisme microbien, Bacillus coli - Staphylococcus aureus)).- The integro-differential equations for the toxic contamination of a medium (Sur les equations integrodifferentielles de la theorie de l'action toxique du milieu).- Comments on the toxic action of the medium relative to the note by Mr. Regnier and Miss Lambin (Remarques sur 1'action toxique du milieu a propos de la Note de M. Regnier et Mlle Lambin (Etude sur le croit microbien en fonction de la quantite de substance nutritive des milieux de culture)).- II. Competition and Predation.- Variations and fluctuations in the numbers of coexisting animal species (Variazioni e fluttuazioni del numero d'individui in specie animali conviventi).- Principles of mathematical biology: Part II (Principes de biologie mathematique: Partie II).- The general equations of biological strife in the case of historical actions.- The growth of mixed populations: Two species competing for a common food supply.- On Volterra's theory of the struggle for existence (Sulla teoria di Volterra della lotta per I'esistenza).- On asymptotically stable periodic solutions in biological differential equations (Sur les solutions asymptotiques d'equations differentielies biologiques).- III. Parasitism, Epidemics and Symbiosis.- Contribution to the analysis of malaria epidemiology I. General Part.- Contribution to the analysis of malaria epidemiology IV. Incubation lag.- Symbiosis, parasitism and evolution (Symbiose, parasitisme et evolution (etude mathenatique)).- IV. Genotypic Selection and Evolution.- Mathematical biology. Chapter 15: Evolution (Biologie mathematique. Chapter 15: Evolution).- General differential equations for the problem of natural selection (Equations differentielies generales du probleme de selection naturelle).- On the Mendelian coefficients of heredity (Sur les coefficients mendeliens d'he'redite).- The differential equations for the problem of natural selection in the case of mutations on sexual chromosomes (Sur les equations differentielles du probleme de la selection naturelle dans le cas de mutation d'un chromosome sexuel).- On the singular points of the differential equations in the problem of natural selection (Sur les points singuliers des equations differentielles du probleme de la selection naturelle).- Natural selection and transformation of the species from the mathematical, statistical and biological points of view (Selection naturelle et transformation des especes du point de vue analytique, statisque et biologique).- V. Life and the Earth.- Evolution of the atmosphere: Organic circulation, glacial periods (Evolution de 1 ' atmosphere: Circulation organique, epoques glaciares).- General Bibliography.