Discrete host-parasitoid models with Allee effects and age structure in the host.

Math Biosci Eng

Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, United States.

Published: January 2010

We study a stage-structured single species population model with Allee effects. The asymptotic dynamics of the model depend on the maximal growth rate of the population as well as on its initial population size. We also investigate two models of host-parasitoid interaction with stage-structure and Allee effects in the host. The parasitoid population may drive the host population to extinction in both models even if the initial host population is beyond the Allee threshold.

Download full-text PDF

Source
http://dx.doi.org/10.3934/mbe.2010.7.67DOI Listing

Publication Analysis

Top Keywords

allee effects
12
host population
8
population
6
discrete host-parasitoid
4
host-parasitoid models
4
allee
4
models allee
4
effects age
4
age structure
4
host
4

Similar Publications

Titanium dioxide nanoparticles: a promising candidate for wound healing applications.

Burns Trauma

January 2025

Research Group of Immune Cell Communication, Department of Immune Medicine, Universitätsklinikum Regensburg | UKR, Franz-Josef-Strauss-Allee 11, 93053, Regensburg, Germany.

Effective wound management and treatment are crucial in clinical practice, yet existing strategies often fall short in fully addressing the complexities of skin wound healing. Recent advancements in tissue engineering have introduced innovative approaches, particularly through the use of nanobiomaterials, to enhance the healing process. In this context, titanium dioxide nanoparticles (TiO NPs) have garnered attention due to their excellent biological properties, including antioxidant, anti-inflammatory, and antimicrobial properties.

View Article and Find Full Text PDF

Agricultural management significantly affects insects, especially pollinators, which are crucial for crop pollination and biodiversity. In agricultural landscapes, various factors spanning different spatial scales are known to affect pollinator health, which, in turn, can influence pollination services. However, the importance of these factors in driving the health and performance of different pollinator groups remains unclear.

View Article and Find Full Text PDF

This study proposes and analyses a revised predator-prey model that accounts for a twofold Allee impact on the rate of prey population expansion. Employing the Caputo fractional-order derivative, we account for memory impact on the suggested model. We proceed to examine the significant mathematical aspects of the suggested model, including the uniqueness, non-negativity, boundedness, and existence of solutions to the noninteger order system.

View Article and Find Full Text PDF

Introduction: Renal cell carcinoma (RCC) is one of the most common types of urogenital cancer. The introduction of immune-based combinations, including dual immune-checkpoint inhibitors (ICI) or ICI plus tyrosine kinase inhibitors (TKIs), has radically changed the treatment landscape for metastatic RCC, showing varying efficacy across different prognostic groups based on the International Metastatic RCC Database Consortium (IMDC) criteria.

Materials And Methods: This retrospective multicenter study, part of the ARON-1 project, aimed to evaluate the outcomes of favorable-risk metastatic RCC patients treated with immune-based combinations or sunitinib.

View Article and Find Full Text PDF

Health services research looks at a form of care under contextual conditions. Often, and especially in the treatment of recurrent or chronic pain, these forms of care are complex interventions. Ensuring internal validity for subsequent interpretability of the results achieved as an essential requirement for studies in health services research therefore presents researchers with the challenge that they have to develop complex study protocols and implement and monitor them in clinical care.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!