The genus Boechera in the mustard family (Brassicaceae) is widely distributed across diverse habitats, ranging from arid deserts to alpine and montane regions. Hybridization and its correlated transition to apomixis are thought to play a crucial role in the morphological diversification of this genus. The process of hybridization, defined as mating between closely related species producing viable offspring, can lead to different evolutionary outcomes, giving rise to stable hybrid zones, speciation, or even the extinction of one or both parental species. Despite the risk of extinction through hybridization, we see rampant hybridization among the roughly 80 species in the genus found in North America. Coexistence between these hybrid populations and their parental taxa is common in the natural environment. How have these wild plants maintained a balance between rapid hybridization events, adaptation, and coexistence? To gain a preliminary understanding of the mechanism behind coexistence in hybridizing species, we designed a 3-species competition model based on the Lotka-Volterra competition equations. The predictions from our model suggest extinction through hybridization is heavily influenced by the demography, growth rate, and rate of hybridization, regardless of the inter- and intra-species competitive abilities of both parental taxa and the hybrid. Even a hybrid with reduced fitness can cause complete parental extinction through demographic swamping (the rapid decline in parent taxa growth rate due to outbreeding depression). Our study shows that taking a population-level theoretical approach to studying hybridization events can provide significant information about the consequences of gene flow between species and its impacts on species and hybrid coexistence.