For two given orthogonal, generalized or hypergeneralized projections P and Q on Hilbert space H, we gave their matrix representation. We also gave canonical forms of the Moore-Penrose and the Drazinâ€¦ (More)

Population growth is governed by many external and internal factors. In order to study their effects on population dynamics, we develop an age-structured time-dependent population model withâ€¦ (More)

We consider a system of nonlinear partial differential equations that describes an agestructured population living in changing environment on N patches. We prove existence and uniqueness of solutionâ€¦ (More)

Human activity and other events can cause environmental changes to the habitat of organisms. The environmental changes effect the vital rates for a population. In order to predict the impact of theseâ€¦ (More)

*Correspondence: sonja.radosavljevic@liu.se 1Department of Mathematics, Linkoping University, Linkoping, 58381, Sweden Full list of author information is available at the end of the article Abstractâ€¦ (More)

In this paper, we characterize generalized and hypergeneralized projections (bounded linear operators which satisfy conditions A = Aâˆ— and A = Aâ€ ). We give their matrix representations and examineâ€¦ (More)

It is widely recognized that various biotic and abiotic factors cause changes in the size of a population and its age distribution. Population structure, intra-specific competition, temporalâ€¦ (More)