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Disease-Induced Hydra Effect with Overcompensatory Recruitment
In ecological systems, the hydra effect is an increase in population size caused by an increase in mortality. This seemingly counterintuitive effect...
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Infection-induced increases to population size during cycles in a discrete-time epidemic model
One-dimensional discrete-time population models, such as those that involve Logistic or Ricker growth, can exhibit periodic and chaotic dynamics....
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The Interplay Between Dispersal and Allee Effects in a Two-Patch Discrete-Time Model
We consider a discrete-time two-patch model with dispersal and a nonlinear non-monotone growth rate suggesting that the population in a patch may...
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Modeling and prediction of phase shifts in noisy two-cycle oscillations
Understanding and predicting ecological dynamics in the presence of noise remains a substantial and important challenge. This is particularly true in...
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Spreading Speed in an Integrodifference Predator–Prey System without Comparison Principle
In this paper, we study the spreading speed in an integrodifference system which models invasion of predators into the habitat of the prey. Without...
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Multiple Attractors and Long Transients in Spatially Structured Populations with an Allee Effect
We present a discrete-time model of a spatially structured population and explore the effects of coupling when the local dynamics contain a strong...
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Proportional threshold harvesting in discrete-time population models
Threshold-based harvesting strategies tend to give high yields while protecting the exploited population. A significant drawback, however, is the...
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The Shape of Spatial Spread
In previous chapters, we studied the speed of spread and the existence of traveling waves. In this chapter, we focus on the shape of traveling-wave...
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Destabilization and chaos induced by harvesting: insights from one-dimensional discrete-time models
One-dimensional discrete-time population models are often used to investigate the potential effects of increasing harvesting on population dynamics,...
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Some Lessons from Two Simple Approaches to Model the Impact of Harvest Timing on Seasonal Populations
Using two different discrete-time models for seasonal populations, we review the potential effects of harvesting in regard to population abundance,...
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A Global Picture of the Gamma-Ricker Map: A Flexible Discrete-Time Model with Factors of Positive and Negative Density Dependence
The gamma-Ricker model is one of the more flexible and general discrete-time population models. It is defined on the basis of the Ricker model,...
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The Speed of Spatial Spread
When a population can persist in a certain environment, we expect that it will spread through that environment if it is initially spatially confined...
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Positive Steady States
When a population can persist in a given region, we want to know what the long-term dynamics of the population are. Is there a positive steady state?...
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A New Formula to Get Sharp Global Stability Criteria for One-Dimensional Discrete-Time Models
We present a new formula that makes it possible to get sharp global stability results for one-dimensional discrete-time models in an easy way. In...
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Two Interacting Populations
Most biological populations do not exist in isolation but interact with other species in many ways that may increase or decrease their reproductive...
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Climate Change and Integrodifference Equations in a Stochastic Environment
Climate change impacts population distributions, forcing some species to migrate poleward if they are to survive and keep up with the suitable...
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Neutral Genetic Patterns for Expanding Populations with Nonoverlap** Generations
We investigate the inside dynamics of solutions to integrodifference equations to understand the genetic consequences of a population with...
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Approximating the Critical Domain Size of Integrodifference Equations
Integrodifference (IDE) models can be used to determine the critical domain size required for persistence of populations with distinct dispersal and...
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Analysis of dispersal effects in metapopulation models
The interplay between local dynamics and dispersal rates in discrete metapopulation models for homogeneous landscapes is studied. We introduce an...
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Harvesting and Dynamics in Some One-Dimensional Population Models
We review some dynamical effects induced by constant effort harvesting in single-species discrete-time population models. We choose three different...