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Article
Delayed action insecticides and their role in mosquito and malaria control
There is considerable interest in the management of insecticide resistance in mosquitoes. One possible approach to slowing down the evolution of resistance is to use late-life-acting (LLA) insecticides that se...
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Article
Global Hopf Bifurcation Analysis of a Nicholson’s Blowflies Equation of Neutral Type
We investigate Hopf bifurcations in a delayed Nicholson’s blowflies equation of neutral type, derived from the Gurtin–MacCamy model. A key parameter that determines the direction of the Hopf bifurcation and th...
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Article
Spatiotemporal mutualistic model of mistletoes and birds
A mathematical model which incorporates the spatial dispersal and interaction dynamics of mistletoes and birds is derived and studied to gain insights of the spatial heterogeneity in abundance of mistletoes. F...
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Article
Modelling intra-host competition between malaria parasites strains
An intra-host epidemiological model is formulated for the co-infection of drug-sensitive and drug-resistant malaria parasites to examine the impact of aggressive treatment on the effect of competitive release ...
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Article
Diffusive Spatial Movement with Memory
Animal movements and their underlying mechanisms are an extremely important research area in biology and have been extensively studied for centuries. However, spatial memory and cognition, which is the most si...
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Article
Dynamics of A Single Population Model with Memory Effect and Spatial Heterogeneity
In this paper, a single reaction-diffusion population model with memory effect and the heterogeneity of the environment, equipped with the Neumann boundary, is considered. The global existence of a spatial non...
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Article
Dynamics of a Predator–Prey Model with Memory-Based Diffusion
In this paper, we propose and analyze a diffusive predator–prey model with memory-based diffusion, which is described by a delayed predator-taxis term. We first obtain the existence and uniform boundedness of ...