Zobrazeno 1 - 10
of 29
pro vyhledávání: '"J. M. Cushing"'
Publikováno v:
Journal of Biological Dynamics, Vol 17, Iss 1 (2023)
We consider a Darwinian (evolutionary game theoretic) version of a standard susceptible-infectious SI model in which the resistance of the disease causing pathogen to a treatment that prevents death to infected individuals is subject to evolutionary
Externí odkaz:
https://doaj.org/article/33a1e942bc2c4662b65786b0b894aad0
Autor:
J. M. Cushing
Publikováno v:
Mathematical Biosciences and Engineering, Vol 16, Iss 4, Pp 1815-1835 (2019)
We derive and analyze a Darwinian dynamic model based on a general di erence equation population model under the assumption of a trade-o between fertility and survival. Both inherent and density dependent terms are functions of a phenotypic trait (su
Externí odkaz:
https://doaj.org/article/c5b7f88be6ab4bff92f76d0fcb205ff5
Autor:
J. M. Cushing
Publikováno v:
Journal of Biological Dynamics, Vol 13, Iss 1, Pp 103-127 (2019)
We describe the evolutionary game theoretic methodology for extending a difference equation population dynamic model in a way so as to account for the Darwinian evolution of model coefficients. We give a general theorem that describes the familiar tr
Externí odkaz:
https://doaj.org/article/ad00bd0ef2bc4bd6aaa2ba149fc556a6
Autor:
J. M. Cushing
Publikováno v:
Journal of Biological Dynamics, Vol 15, Iss S1, Pp S190-S213 (2021)
We prove bifurcation theorems for evolutionary game theoretic (Darwinian dynamic) versions of nonlinear matrix equations for structured population dynamics. These theorems generalize existing theorems concerning the bifurcation and stability of equil
Externí odkaz:
https://doaj.org/article/a8975e75db7f400ba462f7e439724911
Autor:
Amy Veprauskas, J. M. Cushing
Publikováno v:
Journal of Biological Dynamics, Vol 11, Iss 0, Pp 1-24 (2017)
We study a discrete time, structured population dynamic model that is motivated by recent field observations concerning certain life history strategies of colonial-nesting gulls, specifically the glaucous-winged gull (Larus glaucescens). The model fo
Externí odkaz:
https://doaj.org/article/a49f9a73f2954deeb6459952076073f9
It is impossible to predict the exact behavior of all biological systems and how these same systems are exemplified by patterns of complexity and regularity. Decades of research in ecology have documented how these sorts of patterns are the consequen
Autor:
J. M. Cushing
This book offers an introduction to the use of matrix theory and linear algebra in modeling the dynamics of biological populations. Matrix algebra has been used in population biology since the 1940s and continues to play a major role in theoretical a
Autor:
J. M. Cushing, Jia Li
Publikováno v:
Individual-Based Models and Approaches in Ecology ISBN: 9781351073462
Individual-Based Models and Approaches in Ecology ISBN: 9781475708714
Individual-Based Models and Approaches in Ecology ISBN: 9781475708714
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ded2d3b26653254161ab102f240752d4
https://doi.org/10.1201/9781351073462-8
https://doi.org/10.1201/9781351073462-8
Autor:
J. M. Cushing
Publikováno v:
Bulletin of the American Mathematical Society. 42:501-506
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0571f1a4cdfd0e4d3a6888259ff26850
https://doi.org/10.1090/s0273-0979-05-01055-4
https://doi.org/10.1090/s0273-0979-05-01055-4
Autor:
J. M. Cushing
These notes are, for the most part, the result of a course I taught at the University of Arizona during the Spring of 1977. Their main purpose is to inves tigate the effect that delays (of Volterra integral type) have when placed in the differentia