The present Chapter deals with two models for the analysis of tumor growth one is competing species system and other logistic diffusion equation system. A simple model of tumor describes the growth of two populations, each growing according to a logistic law and competiting with each other. In this model we lump together all non-tumor cells which are at tumor site, including normal tissue as we...

We consider a single-species model which is composed of several habitats connected by linear migration rates and having logistic growth. A spatially varying, temporally constant environment is introduced by the non-homogeneity of its carrying capacity. Under this condition any type of purely diffusive behavior, characterized in our model by symmetric migration rates, produces an unbalanced popu...

The Verhulst model is probably the best known macroscopic rate equation in population ecology. It depends on two parameters, the intrinsic growth rate and the carrying capacity. These parameters can be estimated for different populations and are related to the reproductive fitness and the competition for limited resources, respectively. We investigate analytically and numerically the simplest p...

Multiple Logistic Regression Just as in OLS regression, logistic models can include more than one predictor. The analysis options are similar to regression. One can choose to select variables, as with a stepwise procedure, or one can enter the predictors simultaneously, or they can be entered in blocks. Variations of the likelihood ratio test can be conducted in which the chi-square test (G) is...

An ex ante adoption model of bovine somatotropin (BST) is estimated with survey data of California milk producers. Theoretical justification is developed for incorporation of socioeconomic explanatory variables in a technology-adoption model. The advantages of a multinomial over a binomial ex ante model also are presented. The multinomial logit model is used to predict BST adoption, to test hyp...

Logistic growth process with nonlocal interactions is considered in one dimension. Spontaneous breakdown of translational invariance is shown to take place at some parameter region, and the bifurcation regime is identified for short and long-range interactions. Domain walls between regions of different order parameter are expressed as soliton solutions of the reduced dynamics for nearest-neighb...

Unlike a character measured at a finite set of landmark points, function-valued traits are those that change as a function of some independent and continuous variable. These traits, also called infinite-dimensional characters, can be described as the character process and include a number of biologically, economically, or biomedically important features, such as growth trajectories, allometric ...

This study proposes a logistic model of the environmental factors which may affect bacterial growth and antibiotic resistance in swiftlet industry. The highest total mean faecal (FB) colonies counts (11.86±3.11 log10 cfu/ g) were collected from Kota Samarahan Sarawak, Malaysia, lowest (6.71±1.09 cfu/g) Sibu both rainy dry season March 2016 till September 2017. FB isolates highly resis...