NONLINEAR PHENOMENA IN ECOLOGY AND EPIDEMIOLOGY*

Deterministic Nonperiodic Flow

1963 • 18,282 citations

Simple mathematical models with very complicated dynamics

1976 • 6,489 citations

Oscillation and Chaos in Physiological Control Systems

1977 • 3,922 citations

Quantitative universality for a class of nonlinear transformations

1978 • 3,457 citations

Population biology of infectious diseases: Part I

1979 • 3,154 citations

Period Three Implies Chaos

2004 • 2,697 citations

Regulation and Stability of Host-Parasite Population Interactions: I. Regulatory Processes

1978 • 1,697 citations

Period Three Implies Chaos

1975 • 1,680 citations

Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos

1974 • 1,622 citations

The universal metric properties of nonlinear transformations

1979 • 1,381 citations

Bifurcations and Dynamic Complexity in Simple Ecological Models

1976 • 1,239 citations

CIRCULAR CAUSAL SYSTEMS IN ECOLOGY

1948 • 933 citations

Population biology of infectious diseases: Part II

1979 • 898 citations

Regulation and Stability of Host-Parasite Population Interactions: II. Destabilizing Processes

1978 • 653 citations

Management of Multispecies Fisheries

1979 • 623 citations

Theoretical Ecology: Principles and Applications

1977 • 510 citations

Biological populations obeying difference equations: Stable points, stable cycles, and chaos

1975 • 464 citations

Stable Orbits and Bifurcation of Maps of the Interval

1978 • 452 citations

Dynamics and Control of the Transmission of Gonorrhea

1978 • 412 citations

The dynamics of density dependent population models

1977 • 398 citations

PATHOLOGICAL CONDITIONS RESULTING FROM INSTABILITIES IN PHYSIOLOGICAL CONTROL SYSTEMS*

1979 • 326 citations

Infectious Diseases and Population Cycles of Forest Insects

1980 • 307 citations

Universal properties of maps on an interval

1980 • 215 citations

SEASONALITY AND THE REQUIREMENTS FOR PERPETUATION AND ERADICATION OF VIRUSES IN POPULATIONS

1979 • 188 citations

Equations with unbounded delay: a survey

1980 • 163 citations

Bifurcation and ’’strange’’ behavior in instability saturation by nonlinear three-wave mode coupling

1980 • 160 citations

Uniqueness and nonuniqueness for periodic solutions of x′(t) = −g(x(t − 1))

1979 • 83 citations

BIFURCATIONS AND DYNAMIC COMPLEXITY IN ECOLOGICAL SYSTEMS*

1979 • 81 citations

Time delays and chaos in two competing species

1980 • 39 citations

How chaotic is chaos? Chaotic and other “noisy” dynamics in the frequency domain

1979 • 33 citations

THE BIFURCATION OF QUADRATIC FUNCTIONS*

1979 • 28 citations

Periodic solutions of some nonlinear delay-differential equations

1980 • 24 citations

A Nonlinear Model for Human Population Dynamics

1981 • 22 citations

Introduction to Population Modeling

1979 • 19 citations

A precise definition of chaos

1976 • 18 citations

ONE‐DIMENSIONAL DYNAMICS*

1980 • 14 citations

Population Cycles

1978 • 11 citations

ON THE ABUNDANCE OF CHAOTIC BEHAVIOR IN ONE DIMENSION*

1980 • 2 citations