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Integrodifference models for evolutionary processes in biological invasions
Individual variability in dispersal and reproduction abilities can lead to evolutionary processes that may have significant effects on the speed and...
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Controlling Biological Invasions: A Stochastic Host–Generalist Parasitoid Model
On a global scale, biological invasions are seriously destroying the stability of ecosystem, sharply decreasing biodiversity and even endangering...
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Optimal Control Approach for Implementation of Sterile Insect Techniques
The vector or pest control is essential to reduce the risk of vector-borne diseases or crop losses. Among the available biological control tools, the...
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Stochastic behavior of within-host progression in primary dengue infection
Dengue is a mosquito-borne viral infection that triggers a series of intracellular events in the host immune system, which may result in an invasion...
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A Free Boundary Model for Mosquitoes with Conditional Dispersal in a Globally Unfavorable Environment Induced by Climate Warming
One of the fundamental questions in population dynamics concerns the criterion for the persistence or extinction of a biological species subjected to...
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Mathematical Models Can Predict the Spread of an Invasive Species
Invasive species are nonindigenous plants and animals that have the potential to cause great harm to both the environment and native species. If an...
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Desert Locusts: Can Mathematical Models Help to Control Them?
The ravages created by desert locusts (Schistocerca gregaria) on livelihoods and food security have been known and feared for thousands of years....
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Mutualism at the leading edge: insights into the eco-evolutionary dynamics of host-symbiont communities during range expansion
The evolution of mutualism between host and symbiont communities plays an essential role in maintaining ecosystem function and should therefore have...
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Modeling the Role of Immune Cell Conversion in the Tumor-Immune Microenvironment
Tumors develop in a complex physical, biochemical, and cellular milieu, referred to as the tumor microenvironment. Of special interest is the set of...
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Virus-immune dynamics determined by prey-predator interaction network and epistasis in viral fitness landscape
Population dynamics and evolutionary genetics underly the structure of ecosystems, changing on the same timescale for interacting species with rapid...
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Forecasting Pathogen Dynamics with Bayesian Model-Averaging: Application to Xylella fastidiosa
Forecasting invasive-pathogen dynamics is paramount to anticipate eradication and containment strategies. Such predictions can be obtained using a...
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Agent-Based Modeling and Simulation in Mathematics and Biology Education
With advances in computing, agent-based models (ABMs) have become a feasible and appealing tool to study biological systems. ABMs are seeing...
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Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species
Deriving emergent patterns from models of biological processes is a core concern of mathematical biology. In the context of partial differential...
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Hybrid Threats: A European Response
This chapter looks at how the EU and NATO respond to hybrid threats. The chapter starts with a brief discussion of the hybrid terminology. It then...
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Introduction
Cellular adhesion is one of the most important interaction forces in tissues. Cells adhere to each other, to other cells, and to the extracellular...
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Investigation into the Critical Domain Problem for the Reaction-Telegraph Equation Using Advanced Numerical Algorithms
Reaction-telegraph equation (RTE)—a nonlinear partial differential equation of mixed parabolic-hyperbolic type—is believed to be a better...
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Bifurcation analysis for a single population model with advection
In this paper, the dynamics of a single population model with a general growth function is investigated in an advective environment. We show the...
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Integrodifference Equations in Spatial Ecology
This book is the first thorough introduction to and comprehensive treatment of the theory and applications of integrodifference equations in spatial...
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Phenomenological Models of Three Scenarios of Local SARS-COV-2 Coronavirus Epidemics in New York, Brazil, and Japan
AbstractThe COVID-19 pandemic did not end in the summer of 2023 but moved into the stage of a dynamic confrontation between a mutating pathogen and...
