7 papers
Novel Dynamics in Models of Angiogenesis with p-Laplacian diffusion
Wenbo Zhang, Hossein Asgaribakhtiari, Aishwarya Pawar +1
Ischemic heart diseases represent the leading cause of mortality worldwide. Revascularization, the process to restore blood flow in blockages, shows promise. To this end, mathemati…
Fertilizers Fuel, Insecticides Stabilize: Resolving the Paradox of Enrichment in Agriculture
Vaibhava Srivastava, Jason R. Rohr, Rana D. Parshad
The Paradox of Enrichment (PoE) predicts that increasing resources, such as nutrient inputs like fertilizers or food availability, should destabilize ecological systems, such as cr…
An "adaptive" approach to control explosive aphid populations
Aniket Banerjee, Urvashi Verma, Satyam Narayan Srivastava +1
Classical models of aphid population dynamics are unable to explain multi-peak patterns in field populations. We consider the variable carrying capacity model (VCM), which can gene…
The effect of "very fast" dispersal on two species competition with drift
Erin Ellefsen, Rana Parshad, Vaibhava Srivastava
Classical theory predicts that for two competing populations subject to a constant downstream drift, the faster disperser will competitively exclude the slower disperser. In the cu…
Invasive species control via a discrete model for the Trojan Y-chromosome strategy
Don K. Mallawa Arachchi, Rana D. Parshad, Claus Kadelka
Invasive species are a growing threat to ecosystems, particularly in aquatic environments. The Trojan Y Chromosome (TYC) strategy is a promising biological method for reducing inva…
An eco-epidemiological model with prey-taxis and slow diffusion: Global existence, boundedness and novel dynamics
Ranjit Kumar Upadhyay, Rana D. Parshad, Namrata Mani Tripathi +1
In this manuscript, an attempt has been made to understand the effects of prey-taxis on the existence of global-in-time solutions and dynamics in an eco-epidemiological model, part…