Due to the COVID-19 pandemic, many key neglected tropical disease (NTD) activities have been postponed. This hindrance comes at a time when the NTDs are progressing towards their ambitious goals for 2030. Mathematical modelling on several NTDs, namely gambiense sleeping sickness, lymphatic filariasis, onchocerciasis, schistosomiasis, soil-transmitted helminthiases (STH), trachoma, and visceral leishmaniasis, shows that the impact of this disruption will vary across the diseases. Programs face a risk of resurgence, which will be fastest in high-transmission areas. Furthermore, of the mass drug administration diseases, schistosomiasis, STH, and trachoma are likely to encounter faster resurgence. The case-finding diseases (gambiense sleeping sickness and visceral leishmaniasis) are likely to have fewer cases being detected but may face an increasing underlying rate of new infections. However, once programs are able to resume, there are ways to mitigate the impact and accelerate progress towards the 2030 goals.

Male and female moths communicate in complex ways to search for and to select a mate. In a process termed calling, females emit small quantities of pheromones, generating plumes that spread in the environment. Males detect the plume through their antennae and navigate toward the female. The reproductive process is marked by female choice and male–male competition, since multiple males aim to reach the female but only the first can mate with her. This provides an opportunity for female selection on male traits such as chemosensitivity to pheromone molecules and mobility. We develop a mathematical framework to investigate the overall mating likelihood, the mean first arrival time, and the quality of the first male to reach the female for four experimentally observed female calling strategies unfolding over a typical one-week mating period. We present both analytical solutions of a simplified model as well as results from agent-based numerical simulations. Our findings suggest that, by adjusting call times and the amount of released pheromone, females can optimize the mating process. In particular, shorter calling times and lower pheromone titers at onset of the mating period that gradually increase over time allow females to aim for higher-quality males while still ensuring that mating occurs by the end of the mating period.

Vector-borne diseases that occur in humans, as well as in domestic and wild reservoir hosts, cause a significant concern in public health, veterinary health, and ecological health in bio-diverse environments. The majority of vector-borne zoonotic diseases are transmitted among diverse host species, but different hosts have their own ability to transmit pathogens and to attract vectors. These combined transmission mechanisms in hosts and vectors are often called "host competencies" and "vector-feeding preferences." The purpose of this research is to assess the relationship between the host's ability to transmit the pathogen to vectors and the different feeding preferences for a specific host using a multi-host mathematical model. Working with zoonotic cutaneous leishmaniasis and Chagas disease, numerical simulations illustrate these vector-host populations' behavior together for the first time. Global sensitivity analyses confirm that the basic reproductive number, R₀, is more sensitive to the the vector-demographic and biting-rate parameters in both diseases. Therefore, in this era of remarkable biodiversity loss and increased vector-borne diseases, it is crucial to understand how vector-host interaction mechanisms affect disease dynamics in humans within wildlife and domestic settings.