There is an interesting study on mental illness and parents killing their children.
Filicide: Mental Illness in Those Who Kill Their Children
”6144 people were convicted of homicide, 297 were filicides, and 45 cases were filicide-suicides. 195 (66%) perpetrators were fathers. Mothers were more likely than fathers to have a history of mental disorder (66% v 27%) and symptoms at the time of the offence (53% v 23%), most often affective disorder. 17% of mothers had schizophrenia or other delusional disorders. Overall 8% had schizophrenia. 37% were mentally ill at the time of the offence. 20% had previously been in contact with mental health services, 12% within a year of the offence.
Conclusion
In the majority of cases, mental illness was not a feature of filicide. However, young mothers and parents with severe mental illness, especially affective and personality disorder who are providing care for children, require careful monitoring by mental health and other support services. Identifying risk factors for filicide requires further research.”
”All filicide and filicide-suicide cases in England and Wales (1997–2006) were drawn from a national index of homicide perpetrators.”
“Overall, a significantly higher proportion of fathers than mothers were convicted of filicide; a male to female ratio = 2∶1.”
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0058981
I wonder if the dire state of mental health care in NHS is making the violence worse?