Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

Random population dispersal in a linear hostile environment.

¹Department of Mechanical Engineering, Columbia University, New York, New York 10027, USA. harris@mech.eng.sunysb.edu

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

|November 23, 2000

Summary

This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Simplified Diets and the Use of Insulin in the Treatment of Uncomplicated Diabetes Mellitus.

Journal of the National Medical Association·2010

Same author

The 29th Annual Clinic-John A. Andrew Memorial Hospital.

Journal of the National Medical Association·2010

Same author

Nicotinic Acid and Drugs in the Treatment of Pellagra.

Journal of the National Medical Association·2010

Same author

Revised cardiac risk index and postoperative morbidity after elective orthopaedic surgery: a prospective cohort study.

British journal of anaesthesia·2010

Same author

Core-shell magnetic morphology of structurally uniform magnetite nanoparticles.

Physical review letters·2010

Same author

Notes on Health Resorts: Climate of Teneriffe.

British medical journal·2010

Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002

Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002

Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002

Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002

Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002

Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002

See all related articles

This study analyzes population dynamics using the Fisher equation in hostile environments, determining critical habitat size and survival criteria for asocial populations. Findings offer insights into population persistence and growth dynamics.

Area of Science:

Mathematical Biology
Population Dynamics
Ecological Modeling

Background:

The Fisher equation models population spread.
Understanding population dynamics in hostile environments is crucial.
Asocial population growth presents unique challenges.

Purpose of the Study:

To generalize the Fisher equation for asocial populations in linear, hostile environments.
To determine critical habitat size and survival criteria.
To analyze steady-state central density and population growth initiation.

Main Methods:

Center manifold analysis was employed to solve the nonlinear Fisher equation.
The study derived time-dependent solutions.
Asocial growth models were analyzed.

Related Experiment Videos

Main Results:

The critical habitat size was accurately determined.
Steady-state central density results align with exact solutions for larger populations.
Expanded criteria for asocial population survival were established, including habitat size, growth initiation size, and minimum initial central density.

Conclusions:

The generalized Fisher equation provides a robust framework for analyzing asocial populations.
Critical habitat size and initial population density are key factors for survival.
The study enhances understanding of population persistence in challenging ecological settings.