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Mathematics

D-Index
47
Citations
12255
World Ranking
1244
National Ranking
553

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Jim M Cushing is affiliated with the University of Arizona in the United States. Their research primarily spans Environmental Science, Agricultural and Biological Sciences, and Medicine. Within these broader fields, their work is concentrated in subfields such as Ecology, Ecology, Evolution, Behavior and Systematics, Global and Planetary Change, Public Health, Environmental and Occupational Health, and Genetics.

The scientist's research topics include:

  • Avian ecology and behavior
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Animal Behavior and Reproduction
  • Evolution and Genetic Dynamics
  • Evolutionary Game Theory and Cooperation
  • Marine and fisheries research
  • Plant and animal studies

Frequent publication venues for Jim M Cushing are:

  • Journal of Biological Dynamics
  • The Journal of Difference Equations and Applications
  • Journal of Biological Systems
  • Mathematical Biosciences & Engineering
  • Diabetes

Notable recent papers include:

  • "A DARWINIAN DYNAMIC MODEL FOR THE EVOLUTION OF POST-REPRODUCTION SURVIVAL," 2021, Journal of Biological Systems
  • "Treatment outcome in an SI model with evolutionary resistance: a Darwinian model for the evolution of resistance," 2023, Journal of Biological Dynamics
  • "A bifurcation theorem for Darwinian matrix models and an application to the evolution of reproductive life-history strategies," 2020, Journal of Biological Dynamics
  • "The paths of nine mathematicians to the realm of dynamical systems," 2024, The Journal of Difference Equations and Applications
  • "A Darwinian version of the Leslie logistic model for age-structured populations," 2025, Mathematical Biosciences & Engineering

Jim M Cushing has collaborated frequently with several co-authors including Shandelle M. Henson, James L. Hayward, Saber Elaydi, René Lozi, and В. Н. Белых.

Their book publications cover titles released by Springer Nature, the American Mathematical Society, and Springer International Publishing. Key works include:

  • "Discrete Mathematical Models in Population Biology," 2024
  • "Modeling Behavior and Population Dynamics," 2023
  • "Matrix Models for Population, Disease, and Evolutionary Dynamics," 2024
  • "Difference Equations, Discrete Dynamical Systems and Applications," 2024

Among awards, Jim M Cushing was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model.

    Nakul Chitnis;Nakul Chitnis;Nakul Chitnis;James M. Hyman;James M. Hyman;Jim M. Cushing

  • Integrodifferential Equations and Delay Models in Population Dynamics

    Jim M. Cushing

  • An introduction to structured population dynamics

    J. M. Cushing

  • Bifurcation Analysis of a Mathematical Model for Malaria Transmission

    Nakul Chitnis;J. M. Cushing;James Mac Hyman

  • Chaotic Dynamics in an Insect Population

    R. F. Costantino;R. A. Desharnais;J. M. Cushing;Brian Dennis

  • Periodic Time-Dependent Predator-Prey Systems

    J. M. Cushing

  • Can noise induce chaos

    Brian Dennis;Robert A. Desharnais;J. M. Cushing;Shandelle M. Henson

  • Chaos in Ecology: Experimental Nonlinear Dynamics

    J. M. Cushing;R.F. Costantino;Brian Dennis;Robert A. Desharnais

  • NONLINEAR DEMOGRAPHIC DYNAMICS: MATHEMATICAL MODELS, STATISTICAL METHODS, AND BIOLOGICAL EXPERIMENTS'

    Brian Dennis;Robert A. Desharnais;J. M. Cushing;R. F. Costantino

  • Experimentally induced transitions in the dynamic behaviour of insect populations

    R. F. Costantino;J. M. Cushing;Brian Dennis;Robert A. Desharnais

  • Some Discrete Competition Models and the Competitive Exclusion Principle

    J.M. Cushing;Sheree Levarge;Nakul Chitnis;Shandelle M. Henson

  • THE NET REPRODUCTIVE VALUE AND STABILITY IN MATRIX POPULATION MODELS

    J.M. Cushing;Zhou Yicang

  • Two Species Competition in a Periodic Environment

    J. M. Cushing

  • ESTIMATING CHAOS AND COMPLEX DYNAMICS IN AN INSECT POPULATION

    Brian Dennis;Robert A. Desharnais;J. M. Cushing;Shandelle M. Henson

  • A predator prey model with age structure.

    J. M. Cushing;M. Saleem

  • A periodically forced Beverton-Holt equation

    J. M. Cushing;Shandelle M. Henson

  • Transitions in population dynamics: Equilibria to periodic cycles to aperiodic cycles

    Brian Dennis;R. A. Desharnais;J. M. Cushing;R. F. Costantino

  • The effect of periodic habitat fluctuations on a nonlinear insect population model

    Shandelle M. Henson;J. M. Cushing

  • A simple model of cannibalism.

    J.M. Cushing

  • Lattice effects observed in chaotic dynamics of experimental populations.

    Shandelle M. Henson;R. F. Costantino;J. M. Cushing;Robert A. Desharnais

  • Integrodifferential Equations and Delay Models in Population Dynamics.

    R. H. Smith;J. M. Cushing

Frequent Co-Authors

Saber Elaydi
Saber Elaydi Trinity University
Hari M. Srivastava
Hari M. Srivastava University of Victoria
James M. Hyman
James M. Hyman Tulane University
Odo Diekmann
Odo Diekmann Utrecht University
Marek Kimmel
Marek Kimmel Rice University

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