A Mathematical Model for Tribolium Confusum Populations N. W. Taylor

Abstract

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.Abstract. A deterministic mathematical model is constructed to describe the population growth in colonies of the grain beetle, Tribolium confusuin, under laboratory conditions. It is shown how (1) changes in the egg laying rate and adult mortality, (2) the destruction of some eggs by larvae as well as by adults, and (3) the destruction of some small larvae by larvae and adults, lead to a theoretical population growth which agrees closely with the laboratory experiments.

Leukotrienes: Biosynthesis, Metabolism, and Pathophysiologic Significance

“…administration of [ 3~]~~~4 leads to the detection of w-and P-oxidation products that are excreted into bile and urine (31,32,38). In humans, urinary LTE, has been proposed as an index metabolite for the systemic generation of cysteinyl LT in vivo (36,(41)(42)(43)(44). To get reliable information on the role of cysteinyl LT in pathologic states or after pharmacologic intervention, cysteinyl LT metabolites have to be analyzed in urine.…”

“…Lung diseases. In acute asthma, allergic rhinitis, and aspirinsensitive and exercise-induced asthma, elevated concentrations of LT have been recovered from biologic fluids, includingbronchoalveolar lavage, sputum, blood, and urine, spontaneously as well as after antigen challenge (43,(49)(50)(51)(52)(53) (Table 2). Clinical studies with LT receptor antagonists (see below) resulted in clinical improvement.…”

Pure-injectivity and model theory for G-sets

“…Banaschewski [2] shows that every G-set X has a pure-injective hull which we denote by H(X). We will now show that H(X) is elementary equivalent to X (as in the case of modules); also see [11] where it is commented that Mycielski pointed out that, by Theorems 1 and 5 of [7], every G-set is an elementary substructure of a pure-injective G-set. Lemma 3.6.…”

A Mathematical Model for Two Tribolium Populations in Competition

“…However, this will increase the amount of calculation, and so D.t cannot be made too small if excessive use of machine time is to be avoided. It will then be necessary to replace the simple addition in equation ( 4) by one of the formulae for approximate integration, as described by Taylor ( 1967).…”

“…Landahl ( 1955b) has extended his model to deal with the case of two, or more, species in competition. The present author has developed a single-species model similar to Landahl's (Taylor 1967), in whicp. the population at any time is given in terms of the population a short time previously.…”