Search
Search Results
-
Applications
The theory studied so far has considered somewhat idealized population dynamics. In this chapter, we present various extensions of this theory to...
-
Some effects of nonlocal diffusion on the solutions of Fisher-KPP equations in disconnected domains
The question under study is the existence and uniqueness of a non-trivial bounded steady state of a Fisher-KPP equation involving a fractional...
-
General Discussion
Each chapter from 1 to 12 of this book has been respectively discussed. Finally, taken together, the author may be permitted to generally...
-
Evolutionary Substitution and Replacement in N-Species Lotka–Volterra Systems
The successful invasion of a multi-species resident system by mutants has received a great deal of attention in theoretical ecology but less is known...
-
Propagation Phenomena in Periodic Patchy Landscapes with Interface Conditions
This paper is concerned with a model for the dynamics of a single species in a one-dimensional heterogeneous environment. The environment consists of...
-
Populations with individual variation in dispersal in heterogeneous environments: Dynamics and competition with simply diffusing populations
We consider a model for a population in a heterogeneous environment, with logistic-type local population dynamics, under the assumption that...
-
Spatial Memory and Taxis-Driven Pattern Formation in Model Ecosystems
Mathematical models of spatial population dynamics typically focus on the interplay between dispersal events and birth/death processes. However, for...
-
Current Trends in the Bifurcation Methods of Solutions of Real World Dynamical Systems
In this survey paper we discuss a class of dynamical systems giving rise to three types of bifurcations: Hopf bifurcation, Turing bifurcation and Zip...
-
Inside dynamics for stage-structured integrodifference equations
A stage-structured model of integrodifference equations is used to study the asymptotic neutral genetic structure of populations undergoing range...
-
Resilience Analysis for Competing Populations
Ecological resilience refers to the ability of a system to retain its state when subject to state variables perturbations or parameter changes. While...
-
Continuous Model for the Devastating Oscillation Dynamics of Local Forest Pest Populations in Canada*
A sharp and prolonged change in develo** population processes requires mathematical methods to be improved. Unusual phase changes in the...
-
Responding to Invasions: Detection, Control, and Adaptation
Invasive species impact human activities. We can respond using a range of strategies, including detection, adaptation, and control (via prevention...
-
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...
-
Understanding Privacy
In order to be able to appropriately address privacy issues and challenges in mobile and pervasive computing, we first need to better understand why...
-
Modelling evolution of virulence in populations with a distributed parasite load
Modelling evolution of virulence in host-parasite systems is an actively develo** area of research with ever-growing literature. However, most of...
-
A Mathematical Framework for Modelling the Metastatic Spread of Cancer
Cancer is a complex disease that starts with mutations of key genes in one cell or a small group of cells at a primary site in the body. If these...
-
Pulsating waves and entire solutions for a spatially periodic nonlocal dispersal system with a quiescent stage
This paper deals with the pulsating waves and entire solutions for a spatially periodic nonlocal dispersal model with a quiescent stage. By the...
-
Upasamhāra
The title of this short final chapter has many meanings in Sanskrit and Malayalam: conclusion, summing up, drawing together, a collection, etc. What...
-
Resident-invader dynamics of similar strategies in fluctuating environments
We study resident-invader dynamics in fluctuating environments when the invader and the resident have close but distinct strategies. First we focus...
-
Models for HIV/AIDS
Acquired immunodeficiency syndrome (AIDS) AIDS was first identified as a new disease in the homosexual community in San Francisco in 1981. The human...