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The question of the termination of a periodic spatial structure of Turing type in a growing system is addressed in a chemical engineering perspective and a biomimetic approach. The effects of the dynamical parameters on the stability and…

Pattern Formation and Solitons · Physics 2019-07-24 Gabriel Morgado , Laurence Signon , Bogdan Nowakowski , Annie Lemarchand

The decline in extent of wild pollinators in recent years has been partly associated with changing farm practices and in particular with increasing pesticide use. In this paper we combine ecological modelling with economic analysis of a…

Populations and Evolution · Quantitative Biology 2015-09-15 Adam Kleczkowski , Ciaran Ellis , Dave Goulson , Nick Hanley

Resistance to insecticide is considered nowadays one of the major threats to insect control, as its occurrence reduces drastically the efficiency of chemical control campaigns, and may also perturb the application of other control methods,…

Optimization and Control · Mathematics 2019-12-24 Pastor E. Pérez-Estigarribia , Pierre-Alexandre Bliman , Christian Schaerer

In this paper, we develop and analyse a mathematical model to investigate the interactions between banana and plantain plants and the nematode \textit{Radopholus similis}, a pest species occurring in banana plantations worldwide, with…

Analysis of PDEs · Mathematics 2025-11-19 Frank Kemayou , Roger Tagne Wafo , Samuel Bowong

In this paper we study a model of HCV with mitotic proliferation, a saturation infection rate and a discrete intracellular delay: the delay corresponds to the time between infection of a infected target hepatocytes and production of new HCV…

Dynamical Systems · Mathematics 2014-03-13 E. Avila-Vales , N. Chan-Chí , G. García-Almeida , C. Vargas-De-León

This work focuses on feedback control strategies for applying the sterile insect technique (SIT) to eliminate pest populations. The presentation is centered on the case of mosquito populations, but most of the results can be extended to…

Analysis of PDEs · Mathematics 2025-12-03 Kala Agbo Bidi , Luís Almeida , Jean-Michel Coron

Aedes aegypti is known as the responsible vector transmitting dengue flavivirus. Unavailability of medication to cure the transmission of the virus in the human blood becomes a global health issue in recent decades. World epidemiologists…

Populations and Evolution · Quantitative Biology 2017-12-04 Karunia Putra Wijaya , Thomas Goetz , Edy Soewono

In this paper, we consider the diffusive Nicholson's blowflies model in spatially heterogeneous environment when the diffusion rate is large. We show that the ratio of the average of the maximum per capita egg production rate to that of the…

Dynamical Systems · Mathematics 2021-02-24 Dan Huang , Shanshan Chen

Pesticides serve as a common tool in agricultural pest control but significantly contribute to the climate crisis. To combat this, Integrated Pest Management (IPM) stands as a climate-smart alternative. Despite its potential, IPM faces low…

In this work we develop and analyze a mathematical model of biological control to prevent or attenuate the explosive increase of an invasive species population in a three-species food chain. We allow for finite time blow-up in the model as…

Analysis of PDEs · Mathematics 2015-02-09 Matthew Beauregard , Kelly Black , Rana Parshad , Emmanuel Quansah

In this paper, we present a mathematical model for the interaction between honey bees and mites. The dynamics of a mite-infested honey bee colony and the evaluation of the commonly used mite-control strategies (traditional, mechanical and…

Populations and Evolution · Quantitative Biology 2022-05-26 A. Ssenoga , H. Ddumba , J. Y. T. Mugisha

Biodiversity loss driven by agricultural intensification is a pressing global issue, with significant implications for ecosystem stability and human well-being. Existing policy instruments have so far proven insufficient in halting this…

General Economics · Economics 2025-01-16 Elia Moretti , Michael Benzaquen

We propose and analyze a model for antibiotic resistance transfer in a bacterial biofilm and examine antibiotic dosing strategies that are effective in bacterial elimination. In particular, we consider a 1-D model of a biofilm with…

Populations and Evolution · Quantitative Biology 2025-12-22 Rehan Akber , Adnan Khan

In this paper, we introduce a control strategy for applying the Sterile Insect Technique (SIT) to eliminate the population of Aedes mosquitoes which are the vectors of various deadly diseases like dengue, zika, chikungunya... in a wide…

Analysis of PDEs · Mathematics 2022-11-16 Alexis Léculier , Nga Nguyen

We investigate a diffusive predator-prey model by incorporating the fear effect into prey population, since the fear of predators could visibly reduce the reproduction of prey. By introducing the mature delay as bifurcation parameter, we…

Dynamical Systems · Mathematics 2019-05-01 Daifeng Duan , Ben Niu , Junjie Wei

We develop a mathematical model, based on a system of ordinary differential equations, to the upshot of farming alertness in crop pest administration, bearing in mind plant biomass, pest, and level of control. Main qualitative analysis of…

Optimization and Control · Mathematics 2021-06-21 Teklebirhan Abraha , Fahad Al Basir , Legesse Lemecha Obsu , Delfim F. M. Torres

Monitoring the number of insect pests is a crucial component in pheromone-based pest management systems. In this paper, we propose an automatic detection pipeline based on deep learning for identifying and counting pests in images taken…

Computer Vision and Pattern Recognition · Computer Science 2016-02-25 Weiguang Ding , Graham Taylor

In this study, we investigate the dynamics of a spatial and non spatial prey-predator interaction model that includes the following: (i) fear effect incorporated in prey birth rate; (ii) group defence of prey against predators; and (iii)…

Populations and Evolution · Quantitative Biology 2023-11-07 Shivam Yadav , Jai Prakash Tripathi , Shrichand Bhuria , Satish Kumar Tiwari , Deepak Tripathi , Vandana Tiwari , Ranjit Kumar Upadhyay , Yun Kang

Often linear regression is used to perform mediation analysis. However, in many instances, the underlying relationships may not be linear, as in the case of placental-fetal hormones and fetal development. Although, the exact functional form…

Methodology · Statistics 2023-10-16 Qing Yin , Jong-Hyeon Jeong , Xu Qin , Shyamal D Peddada , Jennifer Adibi

The intensification of European agriculture, characterized by increasing farm sizes, landscape simplification and reliance on synthetic pesticides, remains a key driver of biodiversity decline. While many studies have investigated this…

General Economics · Economics 2025-05-27 Elia Moretti , Michel Loreau , Michael Benzaquen