This paper analyzes the stability of a coexistence equilibrium point of a model for competition between two stage-structured populations. In this model, for each population, competition for resources may affect any one of the following population parameters: reproduction, juvenile survival, maturation rate, or adult survival. The results show that the competitive strength of a population is affected by (1) the ratio of the population parameter influenced by competition under no resource limitation (maximum compensatory capacity) over the same parameter under a resource limitation due to competition (equilibrium rate) and (2) the ratio of interspecific competition over intraspecific competition; this ratio was previously shown to depend on resource-use overlap. The former ratio, which we define as fitness, can be equalized by adjusting organisms' life history strategies, thereby promoting coexistence. We conclude that in addition to niche differentiation among populations, the life history strategies of organisms play an important role in coexistence.
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http://dx.doi.org/10.1038/srep00107 | DOI Listing |
Bull Math Biol
January 2025
Department of Biology, Memorial University of Newfoundland, St. John's, NL, Canada.
Mosquitoes are important vectors for the transmission of some major infectious diseases of humans, i.e., malaria, dengue, West Nile Virus and Zika virus.
View Article and Find Full Text PDFEcol Appl
January 2025
Centre for Planetary Health and Food Security, and School of Environment and Science, Griffith University, Southport, Queensland, Australia.
Pathogens that infect multiple host species have an increased capacity to cause extinctions through parasite-mediated apparent competition. Given unprecedented and continuing losses of biodiversity due to Batrachochytrium dendrobatidis (Bd), the causative fungus of the amphibian skin disease chytridiomycosis, a robust understanding of the mechanisms driving cross-species infection dynamics is essential. Here, we used stage-structured, susceptible-infected compartmental models to explore drivers of Bd-mediated apparent competition between two sympatric amphibians, the critically endangered Litoria spenceri and the non-threatened Litoria lesueurii.
View Article and Find Full Text PDFAbstractInducible defenses can affect the persistence, structure, and stability of consumer-resource systems. Theory shows that these effects depend on characteristics of the inducible defense, including timing, costs, efficacy, and sensitivity to consumer density. However, the expression and costs of inducible defenses often vary among life stages, which has not been captured in previous unstructured models.
View Article and Find Full Text PDFMath Biosci Eng
November 2024
School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China.
The incompatible insect technique based on is a promising alternative to control mosquito-borne diseases, such as dengue fever, malaria, and Zika, which drives wild female mosquitoes sterility through a mechanism cytoplasmic incompatibility. A successful control program should be able to withstand the perturbation induced by the immigration of fertilized females from surrounding uncontrolled areas. In this paper, we formulated a system of delay differential equations, including larval and adult stages, interfered by -infected males.
View Article and Find Full Text PDFJ Econ Entomol
October 2024
USDA, Agricultural Research Service, Center for Grain and Animal Health Research, 1515 College Ave., Manhattan, KS 66502, USA.
The red flour beetle, Tribolium castaneum (Herbst) (Coleoptera: Tenebrionidae), is a cosmopolitan and destructive external-infesting pest at many food facilities. The use of deltamethrin- and α-cypermethrin-incorporated long-lasting insecticide-incorporated netting (LLIN) has shown incredible promise for the management of stored product insects. However, it is unknown how LLIN deployed within food facilities may affect the long-term population dynamics of T.
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